Question

Urgent help needed please

Answer 1

x = 8
`√(5)`

Explanation:

Using the Altitude- on - Hypotenuse theorem

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

x² = 16 × (16 + 4) = 16 × 20 = 320 ( take square root of both sides )

x =
`√(320)` =
`√(64(5))` = 8
`√(5)`