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

Answer:

$x=\sqrt{65}$

B is the correct option.

Step-by-step explanation:

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

In right angle ABC, applying Pythagorean theorem, we get

$BC=\sqrt{5^2-3^2}\\\\BC=\sqrt{16}\\\\BC=4$

Now, in right angle triangle CBD,

$x=\sqrt{7^2+4^2}\\\\x=\sqrt{49+16}\\\\x=\sqrt{65}$

B is the correct option.

Answer 2

Answer:

B. square root of 64

Step-by-step explanation: