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Answer the following multiple-choice questions on types of triangles. |
1. Which triangle has all three sides equal in length? Equilateral Isosceles
Scalene
Answer: EquilateralIn an equilateral triangle, all sides are equal in length. 2. What type of triangle is Δ ABC, where AB = AC = BC = 5 cm? (Note: cm denotes centimeter.) Equilateral Isosceles
Scalene
Answer: EquilateralIn an equilateral triangle, all sides are equal in length. 3. What type of triangle has all angles measuring 60°? Equilateral Isosceles
Scalene
Answer: EquilateralAn equilateral triangle has all angles equal and measuring 60°. An equilateral triangle is also referred to as an equiangular triangle. Equilateral means 'equal sides', whereas equiangular means 'equal angles'.
4. What type of triangle is Δ ABC, where ∠A = ∠B = ∠C = 60°? Equilateral Isosceles
Scalene
Answer: EquilateralAn equilateral triangle has all angles equal and measuring 60°. An equilateral triangle is also referred to as an equiangular triangle. Equilateral means 'equal sides', whereas equiangular means 'equal angles'. 5. A triangle has two sides measuring 13 meters and one side measuring 6 meters. What type of triangle is this? Equilateral
Isosceles Scalene
Answer: IsoscelesIn an isosceles triangle, two sides are equal in length. 6. What type of triangle is Δ ABC, where AB = 42 km, AC = 42 km and BC = 30 km? (Note: km denotes kilometer.) Equilateral
Isosceles Scalene
Answer: IsoscelesIn an isosceles triangle, two sides are equal in length. 7. A triangle has two angles measuring 54° and one angle measuring 72°. What type of triangle is this? Equilateral
Isosceles Scalene
Answer: IsoscelesIn an isosceles triangle, two sides are equal in length. If two sides of a triangle are equal, then the angles opposite to them are equal (as per the isosceles triangle theorem in Euclidean geometry). 8. What type of triangle is Δ ABC, where ∠B = ∠C = 65°? Equilateral
Isosceles Scalene
Answer: IsoscelesIn an isosceles triangle, two sides are equal in length. If two sides of a triangle are equal, then the angles opposite to them are equal (as per the isosceles triangle theorem in Euclidean geometry). 9. Which triangle has three unequal sides? Equilateral
Isosceles
Scalene
Answer: ScaleneIn a scalene triangle, all sides and internal angles are different from one another. 10. What type of triangle is Δ ABC, where AB = 11 in, BC = 14 in and AC = 8 in? (Note: in denotes inches.) Equilateral
Isosceles
Scalene
Answer: ScaleneIn a scalene triangle, no two sides are equal in length. 11. A triangle has angles measuring 60°, 64° and 56°. What type of triangle is this? Equilateral
Isosceles
Scalene
Answer: ScaleneIn a scalene triangle, all sides and internal angles are different from one another. 12. What type of triangle is Δ XYZ, where ∠X = 52°, ∠Y = 68° and ∠Z = 60°? Equilateral
Isosceles
Scalene
Answer: ScaleneIn a scalene triangle, all sides and internal angles are different from one another. 13. Which triangle has all three angles less than 90°? Acute Right
Obtuse
Answer: AcuteA triangle that has all interior angles measuring less than 90° is an acute triangle or acute-angled triangle. 14. A triangle has angle measurements of 35°, 71°, and 74°. What type of triangle is this? Acute Right
Obtuse
Answer: AcuteA triangle that has all interior angles measuring less than 90° is an acute triangle or acute-angled triangle. 15. What type of triangle is Δ XYZ, where ∠X = 53°, ∠Y = 66° and ∠Z = 61°? Acute Right
Obtuse
Answer: AcuteA triangle that has all interior angles measuring less than 90° is an acute triangle or acute-angled triangle. 16. An equilateral triangle is also an _______ triangle. Acute Right
Obtuse
Answer: AcuteIn an equilateral triangle, all angles are 60°. Hence, it is an acute triangle or acute-angled triangle. 17. Which triangle has an angle equal to 90°? Acute
Right Obtuse
Answer: RightA triangle that has an angle measuring 90° is a right triangle or right-angled triangle. 18. A triangle has angle measurements of 90°, 20°, and 70°. What type of triangle is this? Acute
Right Obtuse
Answer: RightA triangle that has an angle measuring 90° is a right triangle or right-angled triangle. 19. What type of triangle is Δ PQR, where ∠Q = 90°? Acute
Right Obtuse
Answer: RightA triangle that has an angle measuring 90° is a right triangle or right-angled triangle. 20. In a right triangle, what is the side opposite to the right angle called? Altitude
Hypotenuse Leg
Answer: HypotenuseThe side opposite to the right angle is the hypotenuse. It is the longest side in the right triangle. The other two sides are called the legs of the right triangle. 21. Which triangle has an angle greater than 90°? Acute
Right
Obtuse
Answer: ObtuseA triangle that has an angle measuring more than 90° is an obtuse triangle or obtuse-angled triangle. 22. What type of triangle is Δ ABC, where ∠A = 135°, ∠B = 14° and ∠C = 31°? Acute
Right
Obtuse
Answer: ObtuseA triangle that has one angle measuring more than 90° is an obtuse triangle or obtuse-angled triangle. 23. A triangle has angle measurements of 23°, 39°, and 118°. What type of triangle is this? Acute
Right
Obtuse
Answer: ObtuseA triangle that has one angle measuring more than 90° is an obtuse triangle or obtuse-angled triangle. 24. What is a triangle that contains no right angle called? Right
Oblique Opaque
Answer: ObliqueA triangle that does not contain a right angle is called an oblique triangle.
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