Pythagoras’S Effect On Our World Today
Download as PPT, PDF12 likes60,361 views
The Pythagorean theorem has many applications in modern life. It can be used to calculate distances in baseball diamonds, determine ladder lengths, and compare heights and weights. Builders use it to lay floors and construct buildings by calculating missing sides of triangles. Artists also employ the theorem as a drawing tool to create mosaics and triangular shapes. The Pythagorean theorem forms the basis of trigonometry and connects algebra and geometry. It continues to be important in fields like fractal geometry, cell phone location, and the construction of 3D environments in video games.
1 of 6
Downloaded 391 times
Recommended
Pythagorean triples presentation
Pythagorean triples presentationkellie61901
Ìý
This document discusses Pythagorean triples, which are sets of three positive integers a, b, and c that satisfy the Pythagorean theorem a2 + b2 = c2. It provides examples of Pythagorean triples like (3, 4, 5) and explains Euclid's proof that there are infinitely many such triples. The document also describes properties of Pythagorean triples and how to construct them using formulas involving positive integers m and n. Finally, it mentions that the list provided only includes the first or "primitive" Pythagorean triple for each unique combination and not their multiples.Pythagoras And The Pythagorean Theorem
Pythagoras And The Pythagorean Theoremacavis
Ìý
Pythagoras was a Greek mathematician born around 570 BCE in Samos, Greece. He founded a school in Croton, Italy where he studied mathematics and developed the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. Pythagoras made many contributions to mathematics and music. He discovered that the musical scale is based on string length ratios and ratios of whole numbers.Pythagorean triples
Pythagorean triplesTerry Gastauer
Ìý
Pythagorean triples are sets of three whole numbers that satisfy the Pythagorean theorem. A primitive Pythagorean triple has no common factors between the three numbers. Euclid developed a formula to generate primitive Pythagorean triples using two integers where one is odd and they are relatively prime. The document discusses using Euclid's formula to find primitive Pythagorean triples and prove the formula, as well as properties of primitive Pythagorean triples.The Pythagorean Theorem
The Pythagorean TheoremFidelfo Moral
Ìý
The Pythagorean theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. It was named after the Greek mathematician Pythagoras, who lived in the 6th century BC. The theorem can be used to calculate unknown side lengths in right triangles. Some examples are also given to demonstrate applying the theorem.History Of Mathematics
History Of MathematicsGrenada High School
Ìý
This is a brief, I mean brief, introduction to mathematics that I used this year. I also introduced the different types of Geometry, and steps to solving a geometry problem.Role of Mathematics in everyday life
Role of Mathematics in everyday lifeKajal Satija
Ìý
I've made this presentation on the occasion of MATHEMATICS DAY for the inter-college level competition.Application of mathematics in daily life
Application of mathematics in daily lifeFazle Rabbi Ador
Ìý
This document discusses the various ways that mathematics is applied in daily life. It provides examples of geometry in nature like honeycomb structures, the use of shapes in car design, how mathematics models protein shapes in medicine, the role of mathematics in engineering for building structures and generating energy, its use in forensic science to clarify blurred images, and concludes that these are just a few examples of its many applications we encounter every day.Trigonometric ratios
Trigonometric ratiosAD Firdausi
Ìý
This document introduces the SOH CAH TOA mnemonic for remembering the definitions of the trigonometric ratios sine, cosine, and tangent. It states that SOH CAH TOA is a trigonometric ratio and defines sine as opposite over hypotenuse, cosine as adjacent over hypotenuse, and tangent as opposite over adjacent. It then provides examples of using trigonometric ratios to solve for unknown angles and sides of right triangles.Pythagoras Theorem Explained
Pythagoras Theorem ExplainedPassy World
Ìý
Pythagoras discovered that the ancient Egyptians used a 3:4:5 right triangle to build the pyramids. He investigated this further and deduced the Pythagorean theorem, which states that for any right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. Pythagoras proved this by drawing squares on each side of right triangles and showing that the areas added up. The Pythagorean theorem has been used since ancient times in architecture, engineering, and more recently in technology like screens.Middle school math quiz
Middle school math quizITfC-Edu-Team
Ìý
This document provides details of a mathematics quiz for level II students, including the format, topics, and sample questions. The quiz has three main sections - a visual round with 6 questions in 6 minutes, a rapid fire round with 6 questions in 12 minutes, and a math models round where students are given materials to model math concepts and are asked 6 questions in 10 minutes randomly selected. Sample questions cover topics like geometry, algebra, fractions, time, logic puzzles, and more. The document aims to give an overview of the structure and difficulty of the quiz.PPT on Geometry in our Daily life ..... 
PPT on Geometry in our Daily life ..... Divyansh Sharma
Ìý
The earliest recorded beginnings of geometry can be traced to ancient Mesopotamia and Egypt in the 2nd millennium BC. Early geometry was a collection of empirically discovered principles used for practical applications like surveying, construction, and astronomy. Some of the earliest known texts include the Egyptian Rhind Papyrus from 2000-1800 BC and the Moscow Papyrus from around 1890 BC, as well as Babylonian clay tablets such as Plimpton 322 from around 1900 BC. For example, the Moscow Papyrus contains a formula for calculating the volume of a truncated pyramid.ABSTRACT ALGEBRA
ABSTRACT ALGEBRAMANJULAKAMALANATHAN
Ìý
This document provides an overview of abstract algebra and key concepts such as groups. It discusses how the word "algebra" is derived from an Arabian word meaning "union of broken parts." It also outlines important mathematicians who contributed to the development of algebra, such as Al Khwarizmi, the "father of algebra." The document defines what a set and group are, including the properties a group must satisfy like closure, associative, identity, and inverse elements. Examples of groups are given like integers, rational numbers, and matrices. Applications of group theory in fields like physics, chemistry, and technology are mentioned.Pythagoras and His works
Pythagoras and His worksRohan Karmakar
Ìý
Pythagoras was a Greek mathematician who contributed much to the mathematical world, mainly because of Pythagorean Theorem. The following PPT contains all the necessary information about Pythagoras's early and later life, as well as about his works and explanations.(If you find the fonts a little weird, its not my fault as ºÝºÝߣshare doesn't supports many fonts)Surface area and volume of cuboids
Surface area and volume of cuboidsryaanmarwaha
Ìý
The document discusses calculating the surface area and volume of cuboids and prisms. It provides formulas for surface area of cuboids as the sum of the areas of the six faces. The volume of a cuboid or prism is calculated by multiplying the area of the base by the height. Examples are given of using these formulas to find surface areas and volumes of various shapes.Rotational Symmetry
Rotational SymmetryJC Sawyer Dolphins
Ìý
The document discusses rotational symmetry, which is when a shape looks the same after being rotated. It provides examples of shapes with different orders of rotational symmetry, such as a square having order 4 symmetry. Road signs and letters of the alphabet are used to demonstrate rotational symmetry. Pentominoes and 7-pin polygons are introduced and examples are given of shapes with different rotational symmetry orders to sort.Pythagoras' Theorem
Pythagoras' TheoremSadiqHameed2
Ìý
This document explains the Pythagorean theorem and how to use it to solve problems involving right triangles. It begins by defining a right triangle as one with a 90 degree angle. It then explains that Pythagoras discovered that for any right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. Several examples are provided to demonstrate how to use the theorem to calculate missing side lengths of right triangles in various contexts like finding the diagonal of a rectangle or calculating distance traveled.Circle & sphere
Circle & sphereJıa Yıı
Ìý
The document discusses geometric shapes related to circles such as spheres, hemispheres, and sectors. It provides formulas for calculating the surface area and volume of spheres and hemispheres. Formulas are given for finding the circumference, area, and radii of circles. The document also discusses converting between degrees and radians and provides formulas for calculating arc length, area of sectors, and area of segments of circles.Basics of geometry
Basics of geometryRobert Tinaro
Ìý
Points, lines, and planes are the undefined terms in geometry that form its foundations. A point has no dimensions and marks a location in space, a line extends in one dimension, and a plane extends in two dimensions. The basic elements of 2D space are points, lines, line segments, rays, angles, and their intersections. Rays and angles are defined using points and lines, with rays having a starting point and angles consisting of two rays with the same starting point.Slope intercept
Slope interceptcoolhanddav
Ìý
This document provides a lesson on writing and graphing linear equations in slope-intercept form. It begins with examples of finding the slope and y-intercept of lines and writing the equations in the form y = mx + b. Then it shows how to graph lines from their equations in slope-intercept form. Applications include writing cost functions from word problems and finding values of the functions. A quiz reviews writing equations from slopes and points and graphing lines from their equations.Pythagoras theorem ppt
Pythagoras theorem pptGaurav1721
Ìý
The document provides an explanation of the Pythagorean theorem using examples of right triangles found in baseball diamonds and ladders. It begins by defining a right triangle and its components - the hypotenuse and two legs. It then states the Pythagorean theorem formula that the sum of the squares of the two legs equals the square of the hypotenuse. Several word problems are worked through step-by-step using the theorem to calculate missing side lengths of right triangles.The importance of mathematics
The importance of mathematicsNiño Zedrhic Villanueva
Ìý
Presented by:
Lyndon Earl Dalen
Niño Zedhic M. Villanueva
Daryl Sinugbuhan
Nico Bryan Sta. Ana
Paolo Fortun
Christian James Salvacion
Albert Limbaña
Elijah Hope DiamanteSurface area and volume powerpoint
Surface area and volume powerpointSantosh Kumar
Ìý
1) The document provides formulas for calculating the surface area and volume of basic geometric shapes like rectangles, triangles, circles, cylinders, prisms, and triangular prisms.
2) It explains how to identify the key dimensions needed to substitute into the formulas, like finding the radius, diameter, height, and base/length of an object.
3) Examples are provided to demonstrate applying the formulas step-by-step to calculate surface areas and volumes.Mensuration and its applications
Mensuration and its applicationsAparup1997
Ìý
This document provides formulas and definitions for calculating measurements of various geometric shapes including triangles, squares, rectangles, parallelograms, trapezoids, circles, cuboids, cubes, cylinders, cones, spheres, and their applications. It includes formulas to calculate the perimeter, area, surface area, volume, and diagonals of these shapes. Some key applications mentioned are finding land area, paving area, fencing length, material volumes, wrapping/covering area, and painting costs.4. ap gp
4. ap gpPSIT kanpur
Ìý
This document discusses arithmetic and geometric progressions. It defines arithmetic and geometric sequences as lists of numbers where each subsequent term is calculated using a common difference or ratio. It provides formulas to calculate the nth term and sum of the first n terms for both progressions. The document also discusses arithmetic and geometric means as the averages between two numbers in an arithmetic or geometric progression.Classifying numbers
Classifying numberskbrach
Ìý
This document provides an overview of different types of numbers: whole numbers, integers, rational numbers, and irrational numbers. It defines each type and provides examples. Whole numbers are the counting numbers including 0. Integers include both positive and negative whole numbers. Rational numbers can be written as fractions, while irrational numbers cannot be written as fractions and have non-repeating decimals. The document uses examples and diagrams to illustrate how the different number types are related and how to identify each one.Rubick's cube team competition guidelines
Rubick's cube team competition guidelinesRuby Rose Ann Panganod
Ìý
The document provides general guidelines for a Rubik's Cube team competition being held at Liceo del Verbo Divino in Tacloban City. The competition will have teams of 8 students from different grade levels competing to collectively solve 15 Rubik's Cubes in the fastest time. Teams must register by January 11, 2016 and can submit registration forms to their Math teacher. On the day of the competition, January 12, 2016 at 3:50pm in the SVD Martyrs Hall, teams will compete to solve all 15 cubes as quickly as possible, with the fastest team declared the winner.Chapter 3: Figurate Numbers
Chapter 3: Figurate NumbersNathan Trillo
Ìý
This document discusses different types of figurate numbers including triangular, square, pentagonal, and hexagonal numbers. It provides examples of the patterns formed by each type of number and formulas to calculate the nth term. Relations between different figurate numbers are also explored, such as how the 4th square number can be expressed as the sum of the 3rd and 4th triangular numbers. A brief history of polygonal numbers is given, noting they were first studied by Pythagoras.7 euclidean&non euclidean geometry
7 euclidean&non euclidean geometrypinspiration
Ìý
Euclidean geometry is a mathematical system attributed to the Alexandrian Greek mathematician Euclid, which he described in his textbook on geometry: the Elements. Euclid's method consists in assuming a small set of intuitively appealing axioms, and deducing many other propositions (theorems) from these.Maths project final draft 
Maths project final draft Hugo Ng
Ìý
1) The document discusses Pythagoras' theorem, which states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
2) It provides two proofs of the theorem - one using the areas of four rotated triangles to form a square, and one using the areas of triangles in a trapezoid.
3) Applications of the theorem discussed include determining earthquake locations and calculating projectile trajectories like bullets or arrows.Notes on Pythagoras! 
Notes on Pythagoras! jacob_lingley
Ìý
Pythagoras was an influential 6th century BCE Greek mathematician who developed a secret society called the Pythagoreans. They discovered the Pythagorean theorem, which states that in a right triangle the square of the hypotenuse is equal to the sum of the squares of the other two sides. This allowed them to correctly construct buildings by ensuring columns had straight bases. The theorem revolutionized architecture and measurement.More Related Content
What's hot (20)
Pythagoras Theorem Explained
Pythagoras Theorem ExplainedPassy World
Ìý
Pythagoras discovered that the ancient Egyptians used a 3:4:5 right triangle to build the pyramids. He investigated this further and deduced the Pythagorean theorem, which states that for any right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. Pythagoras proved this by drawing squares on each side of right triangles and showing that the areas added up. The Pythagorean theorem has been used since ancient times in architecture, engineering, and more recently in technology like screens.Middle school math quiz
Middle school math quizITfC-Edu-Team
Ìý
This document provides details of a mathematics quiz for level II students, including the format, topics, and sample questions. The quiz has three main sections - a visual round with 6 questions in 6 minutes, a rapid fire round with 6 questions in 12 minutes, and a math models round where students are given materials to model math concepts and are asked 6 questions in 10 minutes randomly selected. Sample questions cover topics like geometry, algebra, fractions, time, logic puzzles, and more. The document aims to give an overview of the structure and difficulty of the quiz.PPT on Geometry in our Daily life .....
PPT on Geometry in our Daily life ..... Divyansh Sharma
Ìý
The earliest recorded beginnings of geometry can be traced to ancient Mesopotamia and Egypt in the 2nd millennium BC. Early geometry was a collection of empirically discovered principles used for practical applications like surveying, construction, and astronomy. Some of the earliest known texts include the Egyptian Rhind Papyrus from 2000-1800 BC and the Moscow Papyrus from around 1890 BC, as well as Babylonian clay tablets such as Plimpton 322 from around 1900 BC. For example, the Moscow Papyrus contains a formula for calculating the volume of a truncated pyramid.ABSTRACT ALGEBRA
ABSTRACT ALGEBRAMANJULAKAMALANATHAN
Ìý
This document provides an overview of abstract algebra and key concepts such as groups. It discusses how the word "algebra" is derived from an Arabian word meaning "union of broken parts." It also outlines important mathematicians who contributed to the development of algebra, such as Al Khwarizmi, the "father of algebra." The document defines what a set and group are, including the properties a group must satisfy like closure, associative, identity, and inverse elements. Examples of groups are given like integers, rational numbers, and matrices. Applications of group theory in fields like physics, chemistry, and technology are mentioned.Pythagoras and His works
Pythagoras and His worksRohan Karmakar
Ìý
Pythagoras was a Greek mathematician who contributed much to the mathematical world, mainly because of Pythagorean Theorem. The following PPT contains all the necessary information about Pythagoras's early and later life, as well as about his works and explanations.(If you find the fonts a little weird, its not my fault as ºÝºÝߣshare doesn't supports many fonts)Surface area and volume of cuboids
Surface area and volume of cuboidsryaanmarwaha
Ìý
The document discusses calculating the surface area and volume of cuboids and prisms. It provides formulas for surface area of cuboids as the sum of the areas of the six faces. The volume of a cuboid or prism is calculated by multiplying the area of the base by the height. Examples are given of using these formulas to find surface areas and volumes of various shapes.Rotational Symmetry
Rotational SymmetryJC Sawyer Dolphins
Ìý
The document discusses rotational symmetry, which is when a shape looks the same after being rotated. It provides examples of shapes with different orders of rotational symmetry, such as a square having order 4 symmetry. Road signs and letters of the alphabet are used to demonstrate rotational symmetry. Pentominoes and 7-pin polygons are introduced and examples are given of shapes with different rotational symmetry orders to sort.Pythagoras' Theorem
Pythagoras' TheoremSadiqHameed2
Ìý
This document explains the Pythagorean theorem and how to use it to solve problems involving right triangles. It begins by defining a right triangle as one with a 90 degree angle. It then explains that Pythagoras discovered that for any right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. Several examples are provided to demonstrate how to use the theorem to calculate missing side lengths of right triangles in various contexts like finding the diagonal of a rectangle or calculating distance traveled.Circle & sphere
Circle & sphereJıa Yıı
Ìý
The document discusses geometric shapes related to circles such as spheres, hemispheres, and sectors. It provides formulas for calculating the surface area and volume of spheres and hemispheres. Formulas are given for finding the circumference, area, and radii of circles. The document also discusses converting between degrees and radians and provides formulas for calculating arc length, area of sectors, and area of segments of circles.Basics of geometry
Basics of geometryRobert Tinaro
Ìý
Points, lines, and planes are the undefined terms in geometry that form its foundations. A point has no dimensions and marks a location in space, a line extends in one dimension, and a plane extends in two dimensions. The basic elements of 2D space are points, lines, line segments, rays, angles, and their intersections. Rays and angles are defined using points and lines, with rays having a starting point and angles consisting of two rays with the same starting point.Slope intercept
Slope interceptcoolhanddav
Ìý
This document provides a lesson on writing and graphing linear equations in slope-intercept form. It begins with examples of finding the slope and y-intercept of lines and writing the equations in the form y = mx + b. Then it shows how to graph lines from their equations in slope-intercept form. Applications include writing cost functions from word problems and finding values of the functions. A quiz reviews writing equations from slopes and points and graphing lines from their equations.Pythagoras theorem ppt
Pythagoras theorem pptGaurav1721
Ìý
The document provides an explanation of the Pythagorean theorem using examples of right triangles found in baseball diamonds and ladders. It begins by defining a right triangle and its components - the hypotenuse and two legs. It then states the Pythagorean theorem formula that the sum of the squares of the two legs equals the square of the hypotenuse. Several word problems are worked through step-by-step using the theorem to calculate missing side lengths of right triangles.The importance of mathematics
The importance of mathematicsNiño Zedrhic Villanueva
Ìý
Presented by:
Lyndon Earl Dalen
Niño Zedhic M. Villanueva
Daryl Sinugbuhan
Nico Bryan Sta. Ana
Paolo Fortun
Christian James Salvacion
Albert Limbaña
Elijah Hope DiamanteSurface area and volume powerpoint
Surface area and volume powerpointSantosh Kumar
Ìý
1) The document provides formulas for calculating the surface area and volume of basic geometric shapes like rectangles, triangles, circles, cylinders, prisms, and triangular prisms.
2) It explains how to identify the key dimensions needed to substitute into the formulas, like finding the radius, diameter, height, and base/length of an object.
3) Examples are provided to demonstrate applying the formulas step-by-step to calculate surface areas and volumes.Mensuration and its applications
Mensuration and its applicationsAparup1997
Ìý
This document provides formulas and definitions for calculating measurements of various geometric shapes including triangles, squares, rectangles, parallelograms, trapezoids, circles, cuboids, cubes, cylinders, cones, spheres, and their applications. It includes formulas to calculate the perimeter, area, surface area, volume, and diagonals of these shapes. Some key applications mentioned are finding land area, paving area, fencing length, material volumes, wrapping/covering area, and painting costs.4. ap gp
4. ap gpPSIT kanpur
Ìý
This document discusses arithmetic and geometric progressions. It defines arithmetic and geometric sequences as lists of numbers where each subsequent term is calculated using a common difference or ratio. It provides formulas to calculate the nth term and sum of the first n terms for both progressions. The document also discusses arithmetic and geometric means as the averages between two numbers in an arithmetic or geometric progression.Classifying numbers
Classifying numberskbrach
Ìý
This document provides an overview of different types of numbers: whole numbers, integers, rational numbers, and irrational numbers. It defines each type and provides examples. Whole numbers are the counting numbers including 0. Integers include both positive and negative whole numbers. Rational numbers can be written as fractions, while irrational numbers cannot be written as fractions and have non-repeating decimals. The document uses examples and diagrams to illustrate how the different number types are related and how to identify each one.Rubick's cube team competition guidelines
Rubick's cube team competition guidelinesRuby Rose Ann Panganod
Ìý
The document provides general guidelines for a Rubik's Cube team competition being held at Liceo del Verbo Divino in Tacloban City. The competition will have teams of 8 students from different grade levels competing to collectively solve 15 Rubik's Cubes in the fastest time. Teams must register by January 11, 2016 and can submit registration forms to their Math teacher. On the day of the competition, January 12, 2016 at 3:50pm in the SVD Martyrs Hall, teams will compete to solve all 15 cubes as quickly as possible, with the fastest team declared the winner.Chapter 3: Figurate Numbers
Chapter 3: Figurate NumbersNathan Trillo
Ìý
This document discusses different types of figurate numbers including triangular, square, pentagonal, and hexagonal numbers. It provides examples of the patterns formed by each type of number and formulas to calculate the nth term. Relations between different figurate numbers are also explored, such as how the 4th square number can be expressed as the sum of the 3rd and 4th triangular numbers. A brief history of polygonal numbers is given, noting they were first studied by Pythagoras.7 euclidean&non euclidean geometry
7 euclidean&non euclidean geometrypinspiration
Ìý
Euclidean geometry is a mathematical system attributed to the Alexandrian Greek mathematician Euclid, which he described in his textbook on geometry: the Elements. Euclid's method consists in assuming a small set of intuitively appealing axioms, and deducing many other propositions (theorems) from these.Similar to Pythagoras’S Effect On Our World Today (20)
Maths project final draft
Maths project final draft Hugo Ng
Ìý
1) The document discusses Pythagoras' theorem, which states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
2) It provides two proofs of the theorem - one using the areas of four rotated triangles to form a square, and one using the areas of triangles in a trapezoid.
3) Applications of the theorem discussed include determining earthquake locations and calculating projectile trajectories like bullets or arrows.Notes on Pythagoras!
Notes on Pythagoras! jacob_lingley
Ìý
Pythagoras was an influential 6th century BCE Greek mathematician who developed a secret society called the Pythagoreans. They discovered the Pythagorean theorem, which states that in a right triangle the square of the hypotenuse is equal to the sum of the squares of the other two sides. This allowed them to correctly construct buildings by ensuring columns had straight bases. The theorem revolutionized architecture and measurement.Pythagorean triples
Pythagorean triplesAhmad Mahfouz
Ìý
The document discusses Pythagorean triples and the Pythagorean theorem. It provides:
1) A brief history of the Pythagorean theorem, which was discovered by Pythagoras and is also known to have been used in ancient India and Maya civilizations.
2) An explanation that Pythagorean triples are sets of integers that satisfy the Pythagorean theorem relationship a2 + b2 = c2.
3) Examples of the 3-4-5 triangle as the simplest Pythagorean triple and the non-Pythagorean triple of 3-7-9.Trigonometry
Trigonometrypete013
Ìý
What is Trigonometry?
Basic Concepts that will give you a better idea of Trigonometry.
What can you do with Trigonometry...Mathematics Summer Holiday on PYTHAGORES
Mathematics Summer Holiday on PYTHAGORESSneha Gupta
Ìý
The document discusses the Pythagorean theorem and its applications. It begins by introducing Pythagoras and the theorem, which states that the square of the hypotenuse of a right triangle is equal to the sum of the squares of the other two sides. It then provides examples of how the theorem can be used in construction, navigation, determining the size of a TV screen, and ensuring square corners in buildings.Math project for class 8
Math project for class 8Sneha Gupta
Ìý
The document discusses the Pythagorean theorem and its applications. It begins by introducing Pythagoras and the theorem, which states that the square of the hypotenuse of a right triangle is equal to the sum of the squares of the other two sides. It then provides examples of how the theorem can be used in construction, navigation, determining the size of a TV screen, and ensuring square corners in buildings.Teorema de pitagoras
Teorema de pitagorasMIGUELANGELCORNEJOGO
Ìý
This document discusses the Pythagorean theorem and its applications. It defines key terms like hypotenuse and legs/catheti. It states that the Pythagorean theorem can be used to determine if the sides of a right triangle satisfy the relationship a2 + b2 = c2, where c is the hypotenuse and a and b are the legs. It provides examples of how the theorem can be used to calculate distances, lengths, and heights in situations like constructing ladders, measuring distances on maps, and more.MATHEMATICS VERY IMPORTANT PORTFOLIO PPT.pptx
MATHEMATICS VERY IMPORTANT PORTFOLIO PPT.pptxsaathvikmyaginakeri
Ìý
The document provides instructions for a 10th grade mathematics portfolio assignment. Students are asked to create a portfolio containing: a mind map on trigonometry, derivations of trigonometric values for 300, 450, and 600, and applications of trigonometry in daily life. The portfolio must be neatly written and include a creative cover page with the student's name, class, and section. Applications of trigonometry discussed include uses in sound engineering, measuring heights, video games, construction, flight engineering, physics, archaeology, criminology, marine biology, marine engineering, navigation, oceanography, calculus, roofing, and satellite systems.Applications of trigonometry in real life
Applications of trigonometry in real lifeChloe Cheney
Ìý
Trigonometry finds its applications in various important fields that make our life easier. We have prepared a list of Applications of Trigonometry in Life.Maths A - Chapter 5
Maths A - Chapter 5westy67968
Ìý
This document provides information about Pythagoras' theorem and how it can be used to solve problems involving right triangles. It begins with a brief history of Pythagoras and the times he lived in. It then explains Pythagoras' theorem, which states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. Examples are provided to demonstrate how to use the theorem to calculate unknown sides of right triangles. The document also notes that rearranging the theorem allows calculating the lengths of the shorter sides given the hypotenuse.Trigonometry presentation
Trigonometry presentationNomsa Blessing Mswane
Ìý
Trigonometry is the study of triangles and their relationships. The document discusses how trigonometry is used in fields like architecture, astronomy, geology, and for measuring distances and heights. It provides examples of how trigonometry can be used to calculate the height of a building given the distance and angle of elevation to its top.Pythagoras therom
Pythagoras theromAshish Sharma
Ìý
Pythagoras was an ancient Greek philosopher, mathematician and founder of the Pythagorean brotherhood in the 6th century BCE. He established an academy in Croton, Italy that formulated principles influencing later thinkers like Plato and Aristotle. Pythagoras is best known for the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. The theorem is fundamental to mathematics and is used today to determine viewing sizes of televisions and identify right triangles through pythagorean triplets.Pythagorean theorem vft
Pythagorean theorem vftgdyson
Ìý
This document is a virtual field trip about Pythagoras and the Pythagorean theorem. It provides background on Pythagoras and explains the theorem. It then guides students through interactive pages where they can learn how the theorem is applied to real-world contexts like building ramps, stairs, roofs, baseball fields, and football fields. The field trip includes examples and calculations for each application. It concludes with additional online resources for further learning.Geometry in Real Life
Geometry in Real LifeEisa Adil
Ìý
Geometry is a branch of mathematics concerned with measuring and studying the properties and relationships of points, lines, angles, surfaces and solids. It has many practical applications in areas like carpentry, painting, gardening, construction and more. Geometry is also used in many occupations including mechanical engineering, surveying, mathematics, astronomy, graphic design and computer imaging.The Pythagorean Theorem
The Pythagorean TheoremCourt210
Ìý
The Pythagorean Theorem states that the sum of the squares of the two sides of a right triangle equals the square of the hypotenuse. It was developed by the Greek mathematician Pythagoras in the 6th century BC and is useful for calculating unknown side lengths in right triangles and finding diagonals of squares and rectangles. Some examples of numbers that satisfy the theorem are called Pythagorean triples.GEOMETRY AROUND US
GEOMETRY AROUND USRaj Kumar
Ìý
Geometry is a branch of mathematics concerned with shapes, sizes, and relative positions of figures and objects in space. Some key concepts in geometry include points, lines, planes, angles, and shapes. Geometry has been studied and applied since ancient times, with important developments in geometry made by ancient Greek mathematicians like Thales, Pythagoras, and Euclid. Geometry has many practical applications in fields like construction, engineering, and space exploration.Geometry in real life
Geometry in real lifeIkhlas Rahman
Ìý
Geometry is used in many areas of real life. It is primarily developed to measure lengths, areas, and volumes and is used for practical applications like carpeting, gardening, and conical hats. Geometry is also important in fields like computers, where software uses coordinate geometry as a basis. It has applications in photography through use of lighting angles, in stairs through inclined angles, and in physics through equations of motion. Geometry is key in graphics design, buildings, vehicles, cycles, surveying, and other areas involving shapes and spatial relationships.Sacred geometry
Sacred geometrybeyondthoughts
Ìý
Sacred geometry can show up to some degree obscure, however, a fundamental comprehension of sacred geometry can give an accommodating method for survey our reality that you can use in your very own life. Pythagorean Theorem.pptx
Pythagorean Theorem.pptxSamiraEflin
Ìý
The document discusses the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the two legs. It provides the history of the theorem, visual proofs of it, an explanation of right triangles, and examples of using the theorem to solve for a missing side. It also lists real-life applications like building/architecture, navigation/GPS, and games/sports. The overall document provides information about the Pythagorean theorem, how to use it to solve problems, and its relevance in various real-world contexts.Colorful Playful Illustrative Pythagorean Theorem Education Presentation (1)....
Colorful Playful Illustrative Pythagorean Theorem Education Presentation (1)....brandy57279
Ìý
The document discusses the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the two legs. It provides the history of the theorem, visual proofs of it, an explanation of right triangles, and examples of using the theorem to solve for a missing side. It also lists real-life applications like building/architecture, navigation/GPS, and games/sports. The overall document provides information about the Pythagorean theorem, how to use it to solve problems, and its relevance in various real-world contexts.Recently uploaded (20)
How to Configure Proforma Invoice in Odoo 18 Sales
How to Configure Proforma Invoice in Odoo 18 SalesCeline George
Ìý
In this slide, we’ll discuss on how to configure proforma invoice in Odoo 18 Sales module. A proforma invoice is a preliminary invoice that serves as a commercial document issued by a seller to a buyer.Azure Administrator Interview Questions By ScholarHat
Azure Administrator Interview Questions By ScholarHatScholarhat
Ìý
Azure Administrator Interview Questions By ScholarHatInterim Guidelines for PMES-DM-17-2025-PPT.pptx
Interim Guidelines for PMES-DM-17-2025-PPT.pptxsirjeromemanansala
Ìý
This is the latest issuance on PMES as replacement of RPMS. Kindly message me to gain full access of the presentation. Intellectual Honesty & Research Integrity.pptx
Intellectual Honesty & Research Integrity.pptxNidhiSharma495177
Ìý
Research Publication & Ethics contains a chapter on Intellectual Honesty and Research Integrity.
Different case studies of intellectual dishonesty and integrity were discussed.
BỘ TEST KIỂM TRA GIỮA KÌ 2 - TIẾNG ANH 10,11,12 - CHUẨN FORM 2025 - GLOBAL SU...
BỘ TEST KIỂM TRA GIỮA KÌ 2 - TIẾNG ANH 10,11,12 - CHUẨN FORM 2025 - GLOBAL SU...Nguyen Thanh Tu Collection
Ìý
https://app.box.com/s/ij1ty3vm7el9i4qfrr41o756xycbahmgYear 10 The Senior Phase Session 3 Term 1.pptx
Year 10 The Senior Phase Session 3 Term 1.pptxmansk2
Ìý
Year 10 The Senior Phase Session 3 Term 1.pptxHelping Autistic Girls Shine Webinar ºÝºÝߣs
Helping Autistic Girls Shine Webinar ºÝºÝߣsPooky Knightsmith
Ìý
For more information about my speaking and training work, visit: https://www.pookyknightsmith.com/speaking/ASP.NET Interview Questions PDF By ScholarHat
ASP.NET Interview Questions PDF By ScholarHatScholarhat
Ìý
ASP.NET Interview Questions PDF By ScholarHatEffective Product Variant Management in Odoo 18
Effective Product Variant Management in Odoo 18Celine George
Ìý
In this slide we’ll discuss on the effective product variant management in Odoo 18. Odoo concentrates on managing product variations and offers a distinct area for doing so. Product variants provide unique characteristics like size and color to single products, which can be managed at the product template level for all attributes and variants or at the variant level for individual variants.How to Configure Recurring Revenue in Odoo 17 CRM
How to Configure Recurring Revenue in Odoo 17 CRMCeline George
Ìý
This slide will represent how to configure Recurring revenue. Recurring revenue are the income generated at a particular interval. Typically, the interval can be monthly, yearly, or we can customize the intervals for a product or service based on its subscription or contract. BISNIS BERKAH BERANGKAT KE MEKKAH ISTIKMAL SYARIAH
BISNIS BERKAH BERANGKAT KE MEKKAH ISTIKMAL SYARIAHcoacharyasetiyaki
Ìý
BISNIS BERKAH BERANGKAT KE MEKKAH ISTIKMAL SYARIAHFull-Stack .NET Developer Interview Questions PDF By ScholarHat
Full-Stack .NET Developer Interview Questions PDF By ScholarHatScholarhat
Ìý
Full-Stack .NET Developer Interview Questions PDF By ScholarHatAdministrative bodies( D and C Act, 1940
Administrative bodies( D and C Act, 1940P.N.DESHMUKH
Ìý
These presentation include information about administrative bodies such as D.T.A.B
CDL AND DCC, etc.
Functional Muscle Testing of Facial Muscles.pdf
Functional Muscle Testing of Facial Muscles.pdfSamarHosni3
Ìý
Functional Muscle Testing of Facial Muscles.pdf
Inventory Reporting in Odoo 17 - Odoo 17 Inventory App
Inventory Reporting in Odoo 17 - Odoo 17 Inventory AppCeline George
Ìý
This slide will helps us to efficiently create detailed reports of different records defined in its modules, both analytical and quantitative, with Odoo 17 ERP.How to create security group category in Odoo 17
How to create security group category in Odoo 17Celine George
Ìý
This slide will represent the creation of security group category in odoo 17. Security groups are essential for managing user access and permissions across different modules. Creating a security group category helps to organize related user groups and streamline permission settings within a specific module or functionality.BỘ TEST KIỂM TRA GIỮA KÌ 2 - TIẾNG ANH 10,11,12 - CHUẨN FORM 2025 - GLOBAL SU...
BỘ TEST KIỂM TRA GIỮA KÌ 2 - TIẾNG ANH 10,11,12 - CHUẨN FORM 2025 - GLOBAL SU...Nguyen Thanh Tu Collection
Ìý
Pythagoras’S Effect On Our World Today
- 1. Pythagoras’s Affects on our World Today! By: Laura S, Jessie V, Adam B, Isra A, and Dan E.
- 2. Uses in Everyday Life You can use the Pythagorean Theorem to: 1.) Find the answers about the baseball diamond. Ex. How far does a catcher have to throw the ball to get from home plate to second base? 2.) The theorem could determine what kind of ladder would you need when you need to get to your roof. 3.) You could use it to determine the difference between people (height, weight, and age) 4.) Also, you could use the theorem to find the differences from two different places.
- 3. Building Another way how we use the Pythagorean Theorem in modern day! The picture to right shows excavating putting in flooring deals with squares and triangles using the Pythagorean Theorem. Some builders use this formula, because they can find the missing sides. So as you can see, the Pythagorean Theorem is used in building houses and buildings. This is one way we use the formula in the modern day.
- 4. Art Pythagoras greatly admired the arts and even thought of himself as an artist. Pythagoras had created the triangle and the ideas on how to use it. Some artists use the triangle as a drawing tool. Artists use the triangle as pieces in a mosaic or the shape in drawings. Pythagoras thought that without art and math, life would not be normal and harder to live.
- 5. Mathematics Today The Pythagorean theorem is a very important part of many fields of mathematics. The theorem is the basis of trigonometry. Using the theorems arithmetic form, it connects algebra an geometry. Pythagorean’s theorem is linked to fractal geometry. "The area of the square built upon the hypotenuse of a right triangle is equal to the sum of the areas of the squares upon the remaining sides."
- 6. Some More Uses… Triangulation, helps in today to locate a cell phone making an emergency call. It might use the Law of Sines to find the phone. The law of cosines can reduce to the Pythagorean theorem. His theorem is not only important in 2-D geometry, but also important in 3-D geometry. Video games environments are drawn in 3-D using all triangles .