Question

The base of a triangle is 8 cm greater than the height. The area is 42 cm^2. Find the height and length of the base.

Answer 1

Let
base = x+8
height = x

Area of triangle (1/2)(base)(height)

(1/2)(x+8)(x)
(x^2+8x)/2= 42
x^2+8x=84
x^2+8x-84=0
(x-6)(x+14)=0
x=6
x=-14
You can't have negative measurements :|
so

x=6
x+8= 14

Base = 14
Height = 6