Question

I need help! Find the value of z and simplify completely.

Answer 1

root 80

Explanation:

4/z=z/20

z^2=80

z= root 80

Answer 2

`4√(5)`

Explanation:

Since these two triangles are similar by AA, the ratio of their corresponding sides must be the same. In other words:

`(4)/(z)=(z)/(20)`

Cross multiply:

`z^2=80`

Take the square root of both sides:

`z=√(80)=4√(5)`

Hope this helps!