Question

Can someone step by step explain the answer please

Answer 1

Answer: z = $\sqrt{10}$

Step-by-step explanation:

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

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

$\frac{a}{x} =\frac{x}{b}$

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

$\frac{5}{z} =\frac{z}{2}$

Next, to solve:

Step 1: Cross-multiply.

$\frac{5}{z} =\frac{z}{2}$

(5)*(2) = z*z

10 = z²

Step 2: Take square root.

10 = z²

√10 = z

I hope this helps!