Question

Analyze the diagram below and complete the instructions that follow.

Find the unknown side length, x. Write your answer in simplest radical form.

A. 4√32
B. 22
C. 16√5
D. 16√13

Answer 1

C. 16√5

Explanation:

Use the Pythagorean Theorem.

`48^2 = 32^2 + x^2\\2304 = 1024 + x^2\\x^2 = 1280\\x = √(1280)\\`

`√(1280)` is also equal to
`16√(5)`.