Answer:
z = 40
Step-by-step explanation:
Using the Altitude- on- Hypotenuse Theorem
( leg of big Δ )² = ( part of hypotenuse below it ) × ( whole hypotenuse ) , that is
z² = 32 × (32 + 18) = 32 × 50 = 1600 ( take square root of both sides )
\(\sqrt{z^2}\) = \(\sqrt{1600}\)
z = 40
