Q:

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

Accepted Solution

A:
Answer:Answer choice CStep-by-step explanation:By the Pythagorean Theorem, the square of the length of the hypotenuse is equal to the sum of the squares of the legs. You can rearrange this to find one of the legs using the other two sides of the right triangle:[tex]x=\sqrt{24^2-10^2}=\sqrt{576-100}=\sqrt{476}=\sqrt{2^2\cdot 119}=2\sqrt{119}[/tex]Therefore, the correct answer is choice C. Hope this helps!