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.
2 (square root) 41
B.
4(square root) 29
C.
48
D.
58



Please select the best answer from the choices provided


A
B
C
D

Answer 1

The correct answer option is D. 58.

Explanation:

We are given a right angled triangle with a known side length for perpendicular and base and we are to find the value of x (hypotenuse).

For that, we will use Pythagoras Theorem.

`x ^ 2 = 40 ^ 2 + 42 ^ 2`

`x ^ 2 = 1600 + 1764`

`x ^ 2 = 3364`

Taking square root on both sides to get:

`\sqrt { x ^ 2 } = \sqrt { 3364 }`

x = 58