Question

Find x.

A. 2√5
B. 3√5
C. 6

Answer 1

Answer: C

Explanation:

By the geometric mean theorem,

`(y)/(5)=(4)/(y)\\ \\ y^(2)=20\\\\y=√(20)`

So, by the Pythagorean theorem,

`4^(2)+(√(20))^(2)=x^2\\\\36=x^2\\\\x=\boxed{6}`