Answer:
z = 6[tex]\sqrt{2}[/tex]
Step-by-step explanation:
using the altitude- on- hypotenuse theorem
(leg of large Δ )² = (part of hypotenuse below it ) × (whole hypotenuse)
z² = 8 × (8 + 1) = 8 × 9 = 72 ( take square root of both sides )
z = [tex]\sqrt{72}[/tex] = [tex]\sqrt{36(2)}[/tex] = [tex]\sqrt{36}[/tex] × [tex]\sqrt{2}[/tex] = 6[tex]\sqrt{2}[/tex]
