Given right triangle ABC with altitude BD drawn to hypotenuse AC. If BC= 10 and DC = 4, what is the length of AC? (Note: the figure is not drawn to scale.)

Question

asked Mar 26, 2022 104k views

1 Answer

Grandouassou · Answer 1 · 2022-04-01T14:19:31+0000

Answer:

AC = 25 units

Explanation:

Length of BC = 10 units

Length of DC = 4 units

We will use geometric mean theorem in the given right triangle to get the length of side AC.

$\frac{\text{Hypotenuse}}{\text{leg}}=\frac{\text{leg}}{\text{Projection}}$

(AC)/(BC)=(BC)/(DC)

(x)/(10)=(10)/(4)

x =
(10* 10)/(4)

x = 25 units