the area of the triangle is 12 square inches. the base of the triangle is 2 inches longer than the height. write an equation to help you determine the dimensions of the dimensions.

Answer 1

area of triangle = 1/2 * base * height

height = x

base = x + 2

area = 12

12 = 1/2 * (x+2) * (x)

24 = (x+2) * (x)

24 = x^2 + 2x

x^2 + 2x - 24 = 0

(x+6)(x-4) = 0

x = 4 is only viable answer, so height = 4 inches and base = 6 inches