Question 1

Which of the following best describes an equilateral triangle?

Accepted Answer

A triangle with all sides of equal length

Question 2

How are triangles classified by their angles?

Accepted Answer

By the measures of their angles

Question 3

Which statement is true about a right triangle?

Accepted Answer

One angle is exactly $$90^\circ$$

Question 4

A triangle has side lengths of 5 cm, 5 cm, and 8 cm. How is this triangle classified by its sides?

Accepted Answer

Isosceles

Question 5

Which of the following triangles has all angles less than $$90^\circ$$?

Accepted Answer

Acute triangle

Question 6

Given a triangle with angles $$40^\circ$$, $$60^\circ$$, and $$80^\circ$$, how is this triangle classified by its angles?

Accepted Answer

Acute triangle

Question 7

If a triangle has side lengths of 7 cm, 8 cm, and 9 cm, what type of triangle is it by its sides?

Accepted Answer

Scalene

Question 8

Which formula is used to find the missing side of a right triangle?

Accepted Answer

$$a^2$$ + $$b^2$$ = $$c^2$$

Question 9

A right triangle has legs of length 6 and 8. What is the length of the hypotenuse?

Accepted Answer

$$10$$

Question 10

A triangle has angles $$30^\circ$$, $$60^\circ$$, and $$90^\circ. $$Which type of triangle is this?

Accepted Answer

Right triangle

Question 11

If a triangle has exactly two sides of equal length, what is it called?

Accepted Answer

Isosceles triangle

Question 12

Which of the following is always true for any triangle?

Accepted Answer

The sum of the angles is $$180^\circ$$

Question 13

A triangle has one angle greater than $$90^\circ. $$What is this triangle called?

Accepted Answer

Obtuse triangle

Question 14

If a right triangle has one leg of length 9 and a hypotenuse of length 15, what is the length of the other leg?

Accepted Answer

$$12$$

Question 15

Which side of a right triangle is always opposite the right angle?

Accepted Answer

The hypotenuse

Triangles: Classification and the Pythagorean Theorem

Study Guide - Practice Questions