Question

What is the measure of x?
16
x=[?]
Give your answer in simplest form.

Answer 1

Answer:
`8√(5)`

Explanation:

By the geometric mean theorem,

`(y)/(16)=(4)/(y)\\\\y^(2)=64\\\\y=8`

Thus, by the Pythagorean thoerem,

`8^2 +16^2=x^2\\\\320=x^2\\\\x=\boxed{8√(5)}`