Question

Can someone step by step explain the answer please

Answer 1

Answer: z =
`√(10)`

Explanation:

To find z, you must set up a proportion to solve.

To find the altitude of a special right triangle, the formula is:

`(a)/(x) =(x)/(b)`

You can use 5 as a and 2 as b to complete the proportion:

`(5)/(z) =(z)/(2)`

Next, to solve:

Step 1: Cross-multiply.

`(5)/(z) =(z)/(2)`

(5)*(2) = z*z

10 = z²

Step 2: Take square root.

10 = z²

√10 = z

I hope this helps!