Question

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

Answer 1

Answer:

C

Step-by-step 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 = $\sqrt{1120}$ = $\sqrt{16(70)}$ = $\sqrt{16}$ × $\sqrt{70}$ = 4$\sqrt{70}$