Question

Given right triangle ABC with altitude BD drawn to hypotenuse AC. If BC = 14

and DC 4, what is the length of AC? (Note: the figure is not drawn to scale.)

Answer 1

49

Explanation:

∠BAD = ∠DBC (90-∠ABD)

∠C = ∠C

ΔABC similar to ΔBDC

AC/BC = BC/AC

x/14 = 14/4

x = 14*14/4 = 49