Question

The height of a triangle is 6 times its base. The area of the triangle is 192 square

centimeters. Find the base and the height of the triangle.
Base
Height​

Answer 1

base: 8 cm

height: 48cm

Explanation:

Let the base of the triangle = b.

You know that the formula for the area of a triangle is 1/2(b)(h), where b is the base and h is the height. So just substitute:

1/2(b)(h) = 192 replace the height with 6b, because it is 6 times the base

1/2(b)(6b) = 192

1/2(6b^2) = 192 multiply both sides by 2 to remove the 1/2

6b^2 = 384 now divide both sides by 6 to remove the 6

b^2 = 64

b = 8

6(8) = 48 = height