Question

Please help
15 points

Answer 1

Answer: 6

Explanation:

Constructing the altitude of triangle ABC from point A, we get that by the Pythagorean theorem,

h^2 = (AC)^2 - (BC/2)^2 -> h=48.

So now, we know that once again by the Pythagorean theorem,

(CD+14)^2 = (AD)^2 - h^2

(CD+14)^2 = 400 -> CD=6