Question

What is the value of x in the diagram below?​

Answer 1

C

Explanation:

using the Altitude- on- Hypotenuse theorem

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

x² = 20 × (20 + 36) = 20 × 56 = 1120 ( take square root of both sides )

x =
`√(1120)` =
`√(16(70))` =
`√(16)` ×
`√(70)` = 4
`√(70)`