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Mathematics (Geometry) Kinds of Triangles

- 1. The World of Triangles Conrado P. Macapinlac, Sr. High School Mr. Carlo Justino J. Luna www.iamcarloluna.blogspot.com
- 2. Triangles A triangle is a 3-sided polygon. Every triangle has three sides and three angles. When added together, the three angles equal 180°.
- 3. Classifications: According to the interior angles: 1. Acute triangle 2. Right triangle 3. Obtuse triangle 4. Equiangular triangle According to the number of congruent sides: 1. Scalene triangle 2. Isosceles triangle 3. Equilateral triangle
- 4. Acute Triangle • An acute triangle with three acute interior angles.
- 5. Right Triangle • A right triangle is a triangle with one right angle.
- 6. Obtuse Triangle • An obtuse triangle is a triangle with one obtuse angle.
- 7. Equiangular Triangle • An obtuse triangle is a triangle which has three equal angles.
- 8. Scalene Triangle • A scalene triangle is a triangle with three unequal sides.
- 9. Isosceles Triangle • An isosceles triangle is a triangle with two congruent sides.
- 10. Equilateral Triangle • An equilateral triangle is a triangle with three congruent sides.
- 11. The Hypotenuse The hypotenuse of a right triangle is the triangle's longest side, i.e., the side opposite the right angle.
- 12. Pythagorean theorem For a right triangle with legs a and b and hypotenuse c, a2 +b2 =c2 .
- 13. Triangle Quiz Please complete the following quiz that covers the information that was just presented to you.
- 14. Question 1 • If a triangle has three unequal sides, it is a ______ triangle. – A) Scalene – B) Obtuse – C) Isosceles • Answer: – A) Scalene
- 15. Question 2 • A triangle which has three equal angles is a ______ triangle. – A) Acute – B) Equilateral – C) Equiangular • Answer: – C) Equiangular
- 16. Question 3 • A triangle with (at least) two equal sides is a ______ triangle. – A) Scalene – B) Isosceles – C) Congruent • Answer: – B) Isosceles
- 17. Question 4 • Two triangles that are equal are called ______ triangles – A) Acute – B) Obtuse – C) Congruent • Answer: – C) Congruent
- 18. Question 5 • A triangle with all three sides of equal length is a ______ triangle. – A) Equilateral – B) Right – C) Equiangular • Answer: – A) Equilateral
- 19. Question 6 • A triangle with an angle of 90° is a ______ triangle. – A) Acute – B) Right – C) Congruent • Answer: – B) Right
- 20. Question 7 • A triangle in which all three angles are less than 90° is a ______ triangle. – A) Right – B) Acute – C) Scalene • Answer: – B) Acute
- 21. Question 8 • A triangle in which one of the angles is greater than 90° is a ______ triangle. – A) Obtuse – B) Isosceles – C) Acute • Answer: – A) Obtuse
- 22. Question 9 • What is the Hypotenuse of a right triangle? – A) The smallest angle. – B) The side opposite the right angle. – C) The right angle. • Answer: – B) The side opposite the right angle.
- 23. Question 10 • The Pythagorean Theorem states … – A) πr2 – B) (a+b)2 /2=c – C) a2 +b2 =c2 • Answer: – C) a2 +b2 =c2
- 24. Question 11 • Use the Pythagorean Theorem to solve the following: – a = 5 – b = 12 – c = ? • Answer: – c = 13
- 25. Triangles Conrado P. Macapinlac, Sr. High School Mr. Carlo Justino J. Luna www.iamcarloluna.blogspot.com