Geometry Final Exam 2024

In the formula a^2 + b^2 = c^2, which side does c represent?

• One of the legs

• Hypotenuse

• An acute angle

• Right angle

Find the missing side length.

• 14

• 100

• 10

• 48

Find the missing side length.

• 1

• 7

• 35

• 49

Find the length of the missing side. Leave your answer in simplest radical form.

• 113m

• 113 m

A triangle has sides of lengths 12, 14, and 19. Is it a right triangle?

• No; 12^2 + 14^2 = 19^2

• Yes; 12^2 + 14^2 = 19^2

In a 45-45-90 triangle, what is the correct ratio of the sides?

• a: b: c

• a: a: 2a

In triangle ABC, ∠A is a right angle and m∠B = 45°. Find BC. Answers should be exact or in simplest radical form.

• 22 ft

• 22√2 ft

• 11 ft

• 11√2 ft

Find the length of the hypotenuse.

• 12

• 6

• 5

• 18

Find the length of the legs. If your answer is not an integer, leave it in simplest radical form.

• 128

• 8√2

• 16

• 2√2

• 25 m

• 100 m

• 5√6 m

• 10 m