Question

Find the value of z.

Answer 1

`z = 6 √(2)`

Explanation:

The solution is in the image

Answer 2

z = 6
`√(2)`

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 =
`√(72)` =
`√(36(2))` =
`√(36)` ×
`√(2)` = 6
`√(2)`