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Triangles

Mathematics (Geometry) Kinds of Triangles

1 of 25
The World of
Triangles
Conrado P. Macapinlac, Sr. High School
Mr. Carlo Justino J. Luna
www.iamcarloluna.blogspot.com
Triangles
A triangle is a 3-sided
polygon. Every triangle
has three sides and
three angles. When
added together, the
three angles equal 180°.
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
Acute Triangle
• An acute triangle
with three acute
interior angles.
Right Triangle
• A right triangle is a
triangle with one
right angle.
Obtuse Triangle
• An obtuse triangle is
a triangle with one
obtuse angle.

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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