Maths herons formulaPODAR INTERNATIONAL SCHOOLHeron's formula provides a way to calculate the area of a triangle when only the lengths of the three sides are known. It was derived by the Greek mathematician Heron of Alexandria around 10 AD. The formula expresses the area of a triangle in terms of its semiperimeter (s = (a + b + c)/2) and the lengths of its three sides (a, b, c). It can be written as: A = √s(s-a)(s-b)(s-c), where A is the area of the triangle. The document provides an example of using Heron's formula to find the area of an equilateral triangle and discusses applications of the formula.
Triangles X CLASS CBSE NCERTavin2611This document defines and describes different types of triangles based on side lengths and angle measures. It also discusses properties of similar triangles, including the AAA, SSS, SAS, and AA similarity criteria. Properties of special right triangles and the Pythagorean theorem are also covered. Types of triangles discussed include scalene, isosceles, equilateral, acute, obtuse, and right triangles.
مختصر مفاتح الفرجHassan Elagouzتجد في هذا الكتاب دعوات مستجابات، واستغاثات مجرَّبات، وصلوات فاتـحات، وأحزاب كاشـفات للهموم والكروب والملمَّـات ، وهي من كتاب الله تعالى ، ومن أقواله رسوله الكريم ، ومن هدي السلف الصالح ، فاجعلــها سميرك ورفيقك ، وستجدها الصديق الذي يرضيـك دائماً وتستريح إليه كلما نزل بك همٌّ أو غمٌّ وعند المتاعب والأزمات، فقد جربناها فوجدناها سريعة الإجابة في تفريج الكروب وقضاء الحاجات بإذن الله تعالى. فضيلة الشيخ فوزي محمد أبوزيد -
Mathsproject quadrilateralsshaunakk1) A quadrilateral is a polygon with four sides and four vertices. There are over 9 million types of quadrilaterals that can be classified as simple or complex.
2) Quadrilaterals include parallelograms, trapezoids, kites, and more. A parallelogram has two sets of parallel sides and opposite/adjacent angles are equal. A square is a special type of rectangle and parallelogram.
3) The interior angles of any quadrilateral sum to 360 degrees. The line segment between the midpoints of two sides of a triangle is parallel to the third side and half its length.
PPT ON TRIANGLES FOR CLASS XMiku091. The document discusses properties and congruence of triangles. It defines congruence as two triangles being the same shape and size with corresponding angles and sides equal.
2. There are five criteria for congruence: side-angle-side, angle-side-angle, angle-angle-side, side-side-side, and right angle-hypotenuse-side.
3. Additional properties discussed include isosceles triangles having equal angles opposite equal sides, and relationships between sides and opposite angles/angles and opposite sides in all triangles.
Statistics Class 10 CBSE Smitha SumodPowerpoint presentation on the chapter- Statistics from class 10. Includes examples and formulas directly from the textbook
Shortcut methods of english writing for jsc ssc and hsc exameBook.com.bd (প্রয়োজনীয় বাংলা বই)যে কোনো ইংরেজি পরীক্ষায় Part B : Written Part (40 marks) ও Composition Part (60 marks) ভালো করার জন্য সবচেয়ে সহজ পদ্বতি … আপনাকে এখন আর শত শত Paragraph, Application, Letter, Email, Composition, CV ইত্যাদি মুখস্ত করার প্রায়োজন নেই। জাস্ট এখানে দেওয়া ফর্মুলা গুলো আয়ত্ত করলেই আপনি ইংলিশ Written Part এর যে কোন টপিক্স নিজেই লেখার দক্ষতা অর্জন করতে পারবেন … । আপনাকে আর পরীক্ষায় কমন পরা নিয়ে চিন্তা করা লাগবে না অর্থাৎ ইমারজেন্সি পরিস্থিতিতে বসে না থেকে খাতায় কিছু লিখে আসতে পারবেন। প্রায় স্টুডেন্টরা সাধারণত ইংলিশ Written Part এর টপিক্স গুলো মুখস্ত করে ...নিজ থেকে লেখার সাহস করে না , মুখস্তবিদ্যার উপর তাদের ভরসা থাকে ফলে ইংলিশ নিজ থেকে লেখার সৃজনশীলতা কমে আসছে। তাই এই ইংলিশে যে কোন অণুচ্ছেদ লেখার শর্টকাট পদ্বতি বা ফর্মুলা গুলো আয়ত্ত করে… নিজ থেকে বানায় লেখার প্রবণতা বৃদ্ধি করুন … এবং যে কোন পরিস্থিতিতে ইংলিশ লেখার আত্তবিশ্বাস অর্জন করুন … [মুখস্থবিদ্যা চিন্তাশক্তিকে অকেজো করে দেয়,তাই মুখস্থকে ‘না’ বলুন এবং সৃজনশীল পদ্ধতি গ্রহণ করুন।
Arithmetic progressionsshefali1710An arithmetic progression is a sequence of numbers where each term is calculated by adding a constant value, called the common difference, to the previous term. The common difference is the fixed amount subtracted between any two consecutive terms. The general formula for an arithmetic progression is an = a + (n-1)d, where a is the first term and d is the common difference. Some key points covered are:
- Sequences have a specific relation between consecutive terms
- Examples show calculating subsequent terms by adding the common difference
- The formula is used to find specific terms like the 5th term
- The sum of n terms can be calculated using a formula of n/2 * (2a + (n-1
Class IX Heron's FormulaBhawna KhuranaThe document discusses Heron's formula for calculating the area of a triangle. Heron's formula uses the lengths of the three sides of a triangle to calculate its area, rather than requiring the base and height. The formula is defined as the square root of s(s-a)(s-b)(s-c), where s is the semi-perimeter (half the perimeter) and a, b, c are the three side lengths. The formula is useful when it is difficult to measure the base and height of a triangle directly. An example problem demonstrates calculating the area of a triangle with side lengths 3cm, 4cm, and 5cm using Heron's formula.
Maths polynomials 9thSejal AgarwalThe document discusses key concepts related to polynomials including:
1) Algebraic expressions, polynomials, monomials, binomials, trinomials, and their definitions.
2) Constants, variables, and the degree of a polynomial.
3) How to classify polynomials based on degree and number of terms.
4) How to rewrite a polynomial in standard form by arranging terms by descending degree.
5) Remainder and factor theorems related to polynomials.
6) Common identities used to factorize polynomials.
Probability for Class 10 CBSE - MathematicsLet's TuteProbability is the measure of the likelihood that an event will occur. It is quantified as a number between 0 and 1, where, loosely speaking, 0 indicates impossibility and 1 indicates complete certainty.The higher the probability of an event, the more likely it is that the event will occur. A simple example is the tossing of a fair (unbiased) coin. Since the coin is fair, the two outcomes ("heads" and "tails") are both equally probable; the probability of "heads" equals the probability of "tails"; and since no other outcomes are possible, the probability of either "heads" or "tails" is 1/2 (which could also be written as 0.5 or 50%).
This document deals with variety of events that occurs in probability and there are questions based on fourexperiments:
1. Coin experiment
2. Ball experiment,
3. Dice experiment and
4. Card experiment
To give you an overview of this chapter:
It starts with formulas and steps for the above mentioned experiments and Events,
It provides related MCQs with their answers,
a set of solved problems with their logical solutions,
Some question for practice with their final answers given at the end and
Some important points/facts about the topic are also covered.
BASIC PROPTIONALITY THEOREM (THALES THEOREM)akshat raahulThis document discusses the basic proportionality theorem and its converse. It begins by defining the basic proportionality theorem, also known as Thales' theorem, which states that if a line is drawn parallel to one side of a triangle intersecting the other two sides, it divides the two sides in the same ratio. It then provides a proof of this theorem. The document also discusses the history of Thales and the converse of the basic proportionality theorem. In the end, it discusses how PowerPoint can be used to enhance presentations by organizing content, providing illustrations, and animating slides.
Triangle and its propertiesAzam KhanThis document discusses several key properties of triangles. It states that the sum of the interior angles in any triangle is always 180 degrees, known as the angle sum property. It also notes that an exterior angle is equal to the sum of the opposite interior angles. Additionally, the document explains that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides, known as the Pythagorean theorem.
cbse arabic 10 (4) the bird of paradisealbidayamadrasa1. The poem is about a poet who compares his heart to a garden, inviting a bird of paradise to sing there.
2. The garden contains water, flowers, and large branches that could provide shelter for the bird.
3. The poet tells the bird it can sing however it wants in the garden, as the poet's love will resonate with its song.
مختصر مفاتح الفرجHassan Elagouzتجد في هذا الكتاب دعوات مستجابات، واستغاثات مجرَّبات، وصلوات فاتـحات، وأحزاب كاشـفات للهموم والكروب والملمَّـات ، وهي من كتاب الله تعالى ، ومن أقواله رسوله الكريم ، ومن هدي السلف الصالح ، فاجعلــها سميرك ورفيقك ، وستجدها الصديق الذي يرضيـك دائماً وتستريح إليه كلما نزل بك همٌّ أو غمٌّ وعند المتاعب والأزمات، فقد جربناها فوجدناها سريعة الإجابة في تفريج الكروب وقضاء الحاجات بإذن الله تعالى. فضيلة الشيخ فوزي محمد أبوزيد -
Mathsproject quadrilateralsshaunakk1) A quadrilateral is a polygon with four sides and four vertices. There are over 9 million types of quadrilaterals that can be classified as simple or complex.
2) Quadrilaterals include parallelograms, trapezoids, kites, and more. A parallelogram has two sets of parallel sides and opposite/adjacent angles are equal. A square is a special type of rectangle and parallelogram.
3) The interior angles of any quadrilateral sum to 360 degrees. The line segment between the midpoints of two sides of a triangle is parallel to the third side and half its length.
PPT ON TRIANGLES FOR CLASS XMiku091. The document discusses properties and congruence of triangles. It defines congruence as two triangles being the same shape and size with corresponding angles and sides equal.
2. There are five criteria for congruence: side-angle-side, angle-side-angle, angle-angle-side, side-side-side, and right angle-hypotenuse-side.
3. Additional properties discussed include isosceles triangles having equal angles opposite equal sides, and relationships between sides and opposite angles/angles and opposite sides in all triangles.
Statistics Class 10 CBSE Smitha SumodPowerpoint presentation on the chapter- Statistics from class 10. Includes examples and formulas directly from the textbook
Shortcut methods of english writing for jsc ssc and hsc exameBook.com.bd (প্রয়োজনীয় বাংলা বই)যে কোনো ইংরেজি পরীক্ষায় Part B : Written Part (40 marks) ও Composition Part (60 marks) ভালো করার জন্য সবচেয়ে সহজ পদ্বতি … আপনাকে এখন আর শত শত Paragraph, Application, Letter, Email, Composition, CV ইত্যাদি মুখস্ত করার প্রায়োজন নেই। জাস্ট এখানে দেওয়া ফর্মুলা গুলো আয়ত্ত করলেই আপনি ইংলিশ Written Part এর যে কোন টপিক্স নিজেই লেখার দক্ষতা অর্জন করতে পারবেন … । আপনাকে আর পরীক্ষায় কমন পরা নিয়ে চিন্তা করা লাগবে না অর্থাৎ ইমারজেন্সি পরিস্থিতিতে বসে না থেকে খাতায় কিছু লিখে আসতে পারবেন। প্রায় স্টুডেন্টরা সাধারণত ইংলিশ Written Part এর টপিক্স গুলো মুখস্ত করে ...নিজ থেকে লেখার সাহস করে না , মুখস্তবিদ্যার উপর তাদের ভরসা থাকে ফলে ইংলিশ নিজ থেকে লেখার সৃজনশীলতা কমে আসছে। তাই এই ইংলিশে যে কোন অণুচ্ছেদ লেখার শর্টকাট পদ্বতি বা ফর্মুলা গুলো আয়ত্ত করে… নিজ থেকে বানায় লেখার প্রবণতা বৃদ্ধি করুন … এবং যে কোন পরিস্থিতিতে ইংলিশ লেখার আত্তবিশ্বাস অর্জন করুন … [মুখস্থবিদ্যা চিন্তাশক্তিকে অকেজো করে দেয়,তাই মুখস্থকে ‘না’ বলুন এবং সৃজনশীল পদ্ধতি গ্রহণ করুন।
Arithmetic progressionsshefali1710An arithmetic progression is a sequence of numbers where each term is calculated by adding a constant value, called the common difference, to the previous term. The common difference is the fixed amount subtracted between any two consecutive terms. The general formula for an arithmetic progression is an = a + (n-1)d, where a is the first term and d is the common difference. Some key points covered are:
- Sequences have a specific relation between consecutive terms
- Examples show calculating subsequent terms by adding the common difference
- The formula is used to find specific terms like the 5th term
- The sum of n terms can be calculated using a formula of n/2 * (2a + (n-1
Class IX Heron's FormulaBhawna KhuranaThe document discusses Heron's formula for calculating the area of a triangle. Heron's formula uses the lengths of the three sides of a triangle to calculate its area, rather than requiring the base and height. The formula is defined as the square root of s(s-a)(s-b)(s-c), where s is the semi-perimeter (half the perimeter) and a, b, c are the three side lengths. The formula is useful when it is difficult to measure the base and height of a triangle directly. An example problem demonstrates calculating the area of a triangle with side lengths 3cm, 4cm, and 5cm using Heron's formula.
Maths polynomials 9thSejal AgarwalThe document discusses key concepts related to polynomials including:
1) Algebraic expressions, polynomials, monomials, binomials, trinomials, and their definitions.
2) Constants, variables, and the degree of a polynomial.
3) How to classify polynomials based on degree and number of terms.
4) How to rewrite a polynomial in standard form by arranging terms by descending degree.
5) Remainder and factor theorems related to polynomials.
6) Common identities used to factorize polynomials.
Probability for Class 10 CBSE - MathematicsLet's TuteProbability is the measure of the likelihood that an event will occur. It is quantified as a number between 0 and 1, where, loosely speaking, 0 indicates impossibility and 1 indicates complete certainty.The higher the probability of an event, the more likely it is that the event will occur. A simple example is the tossing of a fair (unbiased) coin. Since the coin is fair, the two outcomes ("heads" and "tails") are both equally probable; the probability of "heads" equals the probability of "tails"; and since no other outcomes are possible, the probability of either "heads" or "tails" is 1/2 (which could also be written as 0.5 or 50%).
This document deals with variety of events that occurs in probability and there are questions based on fourexperiments:
1. Coin experiment
2. Ball experiment,
3. Dice experiment and
4. Card experiment
To give you an overview of this chapter:
It starts with formulas and steps for the above mentioned experiments and Events,
It provides related MCQs with their answers,
a set of solved problems with their logical solutions,
Some question for practice with their final answers given at the end and
Some important points/facts about the topic are also covered.
BASIC PROPTIONALITY THEOREM (THALES THEOREM)akshat raahulThis document discusses the basic proportionality theorem and its converse. It begins by defining the basic proportionality theorem, also known as Thales' theorem, which states that if a line is drawn parallel to one side of a triangle intersecting the other two sides, it divides the two sides in the same ratio. It then provides a proof of this theorem. The document also discusses the history of Thales and the converse of the basic proportionality theorem. In the end, it discusses how PowerPoint can be used to enhance presentations by organizing content, providing illustrations, and animating slides.
Triangle and its propertiesAzam KhanThis document discusses several key properties of triangles. It states that the sum of the interior angles in any triangle is always 180 degrees, known as the angle sum property. It also notes that an exterior angle is equal to the sum of the opposite interior angles. Additionally, the document explains that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides, known as the Pythagorean theorem.
cbse arabic 10 (4) the bird of paradisealbidayamadrasa1. The poem is about a poet who compares his heart to a garden, inviting a bird of paradise to sing there.
2. The garden contains water, flowers, and large branches that could provide shelter for the bird.
3. The poet tells the bird it can sing however it wants in the garden, as the poet's love will resonate with its song.
النسب المثلثيةng1234567ngThis document does not contain any meaningful information to summarize. It consists entirely of blank lines, punctuation marks, and repeating characters that do not form words or sentences. A three sentence summary cannot be generated from this input.
المسافة بين نقطتينng1234567ngThis document discusses the Global Positioning System (GPS) and how it works. GPS uses 27 satellites orbiting Earth that continuously transmit radio signals. A GPS receiver can detect these signals from at least 3 satellites to calculate the user's latitude, longitude, and elevation by triangulating the distance from each satellite. GPS has become integrated with other technologies like maps and geographic information systems to provide location services to consumers and businesses.
نظرية فيثاغورسng1234567ngEste documento parece estar compuesto principalmente de caracteres no alfanuméricos y no proporciona información legible. No es posible generar un resumen útil de 3 oraciones o menos a partir del contenido proporcionado.
5. تعمل هند قلدئد خرز. فإذا كا:ن لديها 06 خرزة فضية اللو:ن و
خرزة ذهبية اللو:ن. وترغب في أ:ن تحتوي القلدة الواحدة 51
على نوع واحد من الخرز وفي كل منها العدد نفسه من الخرز
وتحوي كل منها أكبر عدد من الخرز، فستحتاج هند إلى تحديد
القاسم المشترك الكبر للعددين 06، 51
6. تحليل وحيدات الحد: تحليل وحيدات الحد يشبه ت
حليل العداد الكلية. وتكو:ن وحيدة الحد
بالصيغة التحليلية إذا عبر عنها بحاصل ضرب
بُ
أعداد أولية ومتغيرات بأ س 1
بُ
7. عند كتابة وحيدة الحد بالصيغة التحليلية نقول إننا
حللنا وحيدة الحد تحليال تاما .
ً ً
1
مثال 1
10. حلل كل وحيدة حد فيما يأتي تحليال تاما:
ً ً
أ( 53
س4 ص3
5× 7×س×س×س×س×ص×ص×ص
11. حلل كل وحيدة حد فيما يأتي تحليال تاما:
ً ً
2
ب ( ــ 25 أ ب 1
-1×2×2×31×أ×أ×ب
12. القاسم المشترك الكبر: قد يكون لعددين كليين
.أو أكثر بعض العوامل الولية المشتركة
ويمسمى حاصل ضرب العوامل الولية
سُ
المشتركة بالعامل المشترك الكبر لها
13. القاسم المشترك الكبر )ق.م.أ( لعددين
أو أكثر هو أكبر عدد يكون عامال لكل
ً
من هذه العداد، ويمكن إيجاد العامل
المشترك الكبر لوحيدتي حد أو أكثر بطريقة مشابهة
14. : القاسم المشترك البكبر لمجموعة من وحيدات الحـد)2
21أ2 ب2 جـ = 2 × 2 × 3 × أ ×أ × ب × ب × جـ
حلل كل وحيدة
ً ً
حد تحليال تاما
81أ ب3 = 2 × 3 × 3 × أ × ب × ب × ب
ضع دائرة حول العوامل اللولية المشتركة
إذن، )ق.م.أ( لوحيدتي الحد 21أ2 ب2 جـ، 81أ ب3 هو
2 × 3 × أ × ب × ب = 6أ ب2 .
15. تحقق من فهمك:
أوجد )ع.م.أ( لكل زوج من وحيدات الحد اليتية:
أ( 6س ص3، 81ص ع2
=
6ص
16. تحقق من فهمك:
أوجد )ع.م.أ( لكل زوج من وحيدات الحد اليتية:
ب ( 6س ص3، 81ص ع 2
= أ ب
17. مثال من واقع الحياة
3
أوجد )ق.م.أ( للعددين 02، 03 .
02 = 22 × 5
اكتب يتحليل كل عدد إلى عوامله الولية
18. 5 × 3 × 2 = 03
العاملن اللوليان المشتركان هما: 2، 5
)ق.م.أ( للعددين 02، 03 هو 2 × 5 = 01، لذا يمكن
لنورة عمل 01 باقات .
بما أن 2 × 01 = 02، 3 × 01 = 03، لذا فستحتوي
كل باقة على وردتين و3 زنابق .
19. تحقق من فهمك
( ما أكبر قيمة يمكن أن تمثل الطول المشترك
لكل من المستطيلين اللذين مساحتاهما 48 سم2، 07
سم2، علما بأن بعدي كل منهما عددان كليان؟
ً
20. ( ما أكبر قيمة يمكن أن تمثل الطول المشترك
لكل من المستطيلين اللذين مساحتاهما 48 سم2، 07
سم2، علما بأن بعدي كل منهما عددان كليان؟
ً
الحــــــــل
41 سم