Question

Given right triangle ABC with altitude BD drawn to hypotenuse

AC. If AC = 18 and DC = 15, what is the length of BC in
simplest radical form?
A
B
D
18.
X
15
C

Answer 1

`x=3√(30)`

Explanation:

We know that AD=3.

Using the geometric mean theorem,
`BD=3√(5)`.

Thus, using the Pythagorean theorem,
`x=3√(30)`