Question

2.In ABC, BD is perpendicular to AC. The dimensions are shown in centimeters.

What is the length, in centimeters, of AC?

ASAP BEFORE TOMORROW 11

Answer 1

AC = 12

Explanation:

From the question, we have that BD is perpendicular to AC

This means that it is at 90 degrees to the base

so we have two similar right triangles

Let us use Pythagoras’ theorem to get the measure of one of the legs (AD and DC)

Let us call the leg x

We have the Pythagoras’ theorem stating that the square of the hypotenuse (the side facing the right angle; 10 here) is equal to the sum of the squares of the two other sides

10^2 = x^2 + 8^2

100 = x^2 + 64

x^2 = 100-64

x^2 = 36

x = √36

x = 6

AD = DC = 6

AC = 2 * AD

AC = 2 * 6

AC = 12