Question

Find the value of z.
X
7
Y
3
Z

Z = √[?]

Answer 1

z =
`√(30)`

Explanation:

using the Altitude- on- Hypotenuse theorem

(leg of big Δ )² = (part of hypotenuse below it ) × (whole hypotenuse)

z² = 3 × (3 + 7) = 3 × 10 = 30 ( take square root of both sides )

z =
`√(30)`