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

Question

2 years ago

12

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

Mathematics

1 answer:

Romashka-Z-Leto [24] · Answer 1 · 2023-07-06T11:51:51+03:00

Romashka-Z-Leto [24]2 years ago

3 0

Answer:

C) 31.2

Step-by-step 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