Question

The base of a triangle is 4 inches more than 3 times the height. If the area of the triangle is 66 square inches, find the base and height.

Answer 1

base = b = 11

height = h = 2

Explanation:

.5 * b * h = 11

.5 * (4h + 3) * h = 11

(4h + 3) * h = 22

4h2 + 3h = 22

4h2 + 3h - 22 = 0

(4h + 11) (h - 2) = 0

h = -11/4 OR h = 2