Question

Triangle A B C is shown. Angle A B C is a right angle. An altitude is drawn from point B to point D on side A C to form a right angle. The length of A D is 5 and the length of B D is 12. What is the length of Line segment B C, rounded to the nearest tenth?What is the value of x? A) 13.0 units B) 28.8 units C) 31.2 units D) 33.8 units i know its not B

Answer 1

C

Explanation:

Answer 2

C) 31.2

Explanation:

The length of AB can be found from the Pythagorean theorem:

AB² = AD² +BD²

AB = √(25 +144) = 13

All of the right triangles are similar, so ...

BC/BD = AB/AD

BC = BD(AB/AD) = 12(13/5)

BC = 31.2 . . . units