Question

Even more geometry stuff pls help

Answer 1

`z=(25)/(3)`

Explanation:

Using the Pythagorean theorem, the length of the altitude to the hypotenuse is
`√(5^2-3^2)=4`.

Using the geometric mean theorem,

`4^2=3(z-3) \\ \\ 16=3z-9 \\ \\ 25=3z \\ \\ z=(25)/(3)`