Question

What is the measure of z? 3 27 y x z

Answer 1

Answer:
`3√(10)`

Explanation:

By the geometric mean theorem,

`(y)/(3)=(27)/(y)\\y^(2)=81\\y=9`

So, by the Pythagorean theorem,

`3^(2)+9^(2)=z^(2)\\90=z^(2)\\z=\boxed{3√(10)}`