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Types of Triangles

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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: Equilateral
In an equilateral triangle, all sides are equal in length.


2. What type of triangle is Δ ABC, where AB = AC = BC = 17 cm? (Note: cm denotes centimeter.)

• Equilateral
• Isosceles
• Scalene
Answer: Equilateral
In an equilateral triangle, all sides are equal in length.


3. What type of triangle has all angles measuring 60°?
• Equilateral
• Isosceles
• Scalene
Answer: Equilateral
An 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: Equilateral
An 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 11 meters and one side measuring 9 meters. What type of triangle is this?
• Equilateral
• Isosceles
• Scalene
Answer: Isosceles
In an isosceles triangle, two sides are equal in length.


6. What type of triangle is Δ ABC, where AB = 50 km, AC = 50 km and BC = 33 km?  (Note: km denotes kilometer.) 

• Equilateral
• Isosceles
• Scalene
Answer: Isosceles
In an isosceles triangle, two sides are equal in length.


7. A triangle has two angles measuring 40° and one angle measuring 100°. What type of triangle is this?
• Equilateral
• Isosceles
• Scalene
Answer: Isosceles
In 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 = 67°?

• Equilateral
• Isosceles
• Scalene
Answer: Isosceles
In 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: Scalene
In a scalene triangle, all sides and internal angles are different from one another.


10. What type of triangle is Δ ABC, where AB = 10 in, BC = 13 in and AC = 7 in? (Note: in denotes inches.)

• Equilateral
• Isosceles
• Scalene
Answer: Scalene
In a scalene triangle, no two sides are equal in length.


11. A triangle has angles measuring 60°, 66° and 54°. What type of triangle is this?
• Equilateral
• Isosceles
• Scalene
Answer: Scalene
In 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 = 66° and ∠Z = 62°?

• Equilateral
• Isosceles
• Scalene
Answer: Scalene
In 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: Acute
A 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 28°, 67°, and 85°. What type of triangle is this?
• Acute
• Right
• Obtuse
Answer: Acute
A 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 = 56°, ∠Y = 65° and ∠Z = 59°?

• Acute
• Right
• Obtuse
Answer: Acute
A 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: Acute
In 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: Right
A triangle that has an angle measuring 90° is a right triangle or right-angled triangle.


18. A triangle has angle measurements of 90°, 36°, and 54°. What type of triangle is this?
• Acute
• Right
• Obtuse
Answer: Right
A 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: Right
A 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?
• Hypotenuse
• Altitude
• Leg
Answer: Hypotenuse
The 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: Obtuse
A 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 = 134°, ∠B = 16° and ∠C = 30°?

• Acute
• Right
• Obtuse
Answer: Obtuse
A triangle that has one angle measuring more than 90° is an obtuse triangle or obtuse-angled triangle.


23. A triangle has angle measurements of 12°, 43°, and 125°. What type of triangle is this?
• Acute
• Right
• Obtuse
Answer: Obtuse
A 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?
• Oblique
• Right
• Opaque
Answer: Oblique
A triangle that does not contain a right angle is called an oblique triangle.



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