Answer:
z ≈ 9.8
Step-by-step explanation:
Using the Altitude- on- Hypotenuse Theorem
( leg of big triangle )² = (part of hypotenuse below it ) × (whole hypotenuse )
z² = 8 × (8 + 4) = 8 × 12 = 96 ( take square root of both sides )
[tex]\sqrt{z^2}[/tex] = [tex]\sqrt{96}[/tex] , then
z ≈ 9.8 ( to the nearest tenth )
