Question

Find the unknown side length, x. Write your answer in simplest radical form. A. 4 B. Square root of 65 C. 11 D. 5 square root 13

Answer 1

B. square root of 64

Explanation:

Answer 2

`x=√(65)`

B is the correct option.

Explanation:

We'll use Pythagorean theorem to find the value of x.

In right angle ABC, applying Pythagorean theorem, we get

`BC=√(5^2-3^2)\\\\BC=√(16)\\\\BC=4`

Now, in right angle triangle CBD,

`x=√(7^2+4^2)\\\\x=√(49+16)\\\\x=√(65)`

B is the correct option.