Question

Find the value of x.
7
D
3
B В
х
С
X =

Answer 1

x =
`√(30)`

Explanation:

Using the Altitude- on- Hypotenuse theorem

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

x² = 3 × (3 + 7) = 3 × 10 = 30 ( take the square root of both sides )

x =
`√(30)`