Question

The height of triangle is 8 inches less than

its base. The area of the triangle is 192 square inches.
Find the dimensions of the triangle

Answer 1

The base = 24 in

The height = 16 in

Steps:

x(x-8)/2 = 192

(x²-8x)/2 = 192

x²-8x = 192 × 2

x²-8x = 384

x²-8x-384 = 0

by using the quadratic formula, the roots are: (24, -16)

hence

x = 24

The base = 24 in

The height = 16 in