triangles geometry
- 1. Prepared by: Elizer S. Sampang
- 2. CONTENTS Meaning of the Triangle Parts of the Triangle - Primary Parts - Secondary Parts Kinds of Triangle - According to Angles - According to Sides
- 3. A polygon with three sides, three angels and three vertices. It is the union of three non collinear points.
- 4. The sum of the interior angles are 180 degrees.
- 7. Sides - AB, BC, CA Angles - A, B, C Vertices - A, B, C A C B
- 9. Median - is the segment drawn from one vertex of a triangle to the midpoint of the opposite sides. A B C D AD - BD = DC
- 10. Altitude - is the perpendicular segment drawn from one vertex of the triangle to the line containing the opposite side. Altitude - AC
- 11. Angle Bisector - is the segment drawn from one vertex and dividing the angle into two congruent angles. AP - Angle bisector BAP = CAP
- 14. Acute Triangle - is a triangle with three angles are less than 90. Examples: 50 70 60 59 66 55
- 15. Obtuse Triangle - is a triangle with one of the angle is more than 90. Examples: 110 20 50
- 16. Right Triangle - is a triangle with one angle is exactly 90. - the longest side is the hypotenuse and the two sides are the legs. Example:
- 17. Equiangular Triangle - is a triangle with all angles are congruent. 60 60 60 Example:
- 19. Scalene Triangle - is a triangle with no equal sides. Examples: 5m 8m 7m 5m 3m 4m
- 20. Isosceles Triangle - is a triangle with two sides are congruent. Examples: 12cm 12cm 15cm 4 4 8
- 21. Equilateral Triangle - is a triangle with all sides are congruent. Example: 6cm 6cm 6cm
- 22. Parts Kinds Primary Secondary Sides Angles Vertices Median Altitude Angle bisector Angles Sides Acute Obtuse Right Equiangular Scalene Isosceles Equilateral
- 23. ACTIVITY A. Identify the following. 1. A triangle with two equal sides. 2. A triangle whose one of its angle is more than 90 degrees.
- 24. 3. A triangle whose angles are less than 90 degrees. 4. A triangle where all of its angle are congruent. 5. A triangle with no equal sides.