Triangles
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This document defines and describes triangles. It states that a triangle is a polygon with three sides and three interior angles that sum to 180 degrees. The document lists the basic parts of a triangle as sides, vertices, and angles. It then describes secondary parts such as altitudes, medians, and angle bisectors. The document classifies triangles based on side congruence as scalene, isosceles, or equilateral triangles. It also classifies triangles based on angle measures as acute, right, obtuse, or equiangular triangles.
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.............................. https://mathsolutionpoint.blogspot.com/p/10-th.html ...................
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Triangles
- 2. Description: • It is a polygon with the least number of sides. • The sum of its interior angles is 180o . m<1 + m<2 + m<3 = 180o 1 2 3
- 3. • It is named using its vertices in clockwise or counter-clockwise manner. A B C ABC BCACBA
- 4. BASIC PARTS A B C SIDESVERTICES ANGLES AB BC AC A B C <B or <ABC <A or <BAC <C or <ACB
- 5. SECONDARY PARTS A B C ALTITUDE Is a line segment drawn perpendicularly from one vertex to the opposite side Also known as the height of the triangle
- 6. SECONDARY PARTS Is a segment drawn from one vertex to the midpoint of the opposite side A CB MEDIAN FE
- 7. SECONDARY PARTS ANGLE BISECTOR Is a segment drawn from one vertex to the opposite side of the triangle  it divides an angle of a triangle into two equal parts F A B C E m<ABF = m<CBF m<BAF = m<CAF D m<ACD = m<BCD
- 8. CLASSIFICATIONS • According to the number of congruent sides a. Scalene – no two sides are congruent b. Isosceles – two sides are congruent 12 8 5
- 9. c. Equilateral – all sides are congruent
- 10. • According to the measure of its angles a. Acute triangle – all its angles are acute 50o 65o 65o
- 11. b. Right triangle – with one right angle
- 12. c. Obtuse triangle – with at most one obtuse angle 105o 45o 30o
- 13. d. Equiangular – all angles are equal 60o 60o 60o