SOLUTION: The base of a triangle is 8 cm less than its height. If the area of the triangle is 42cm^2, find its base and height.

Algebra ->  Linear-equations -> SOLUTION: The base of a triangle is 8 cm less than its height. If the area of the triangle is 42cm^2, find its base and height.      Log On


   

Question 636561: The base of a triangle is 8 cm less than its height. If the area of the triangle is 42cm^2, find its base and height.
Answer by shebi123(1) About Me  (Show Source):
You can put this solution on YOUR website!
Let
the height = x
Base = x-8
Formula
Area= 1/2(height *base)
Solution
1/2{x(x-8)}=42
x(x-8)=84
x^2-8x-84=0
x^2 -14x+6x-84=0
(x+6)(x-14)=0
x= -6,14
We'll take positive one
Base=x=14cm
Height =x-8=6cm