SOLUTION: The base of a triangle is 4 cm greater than the height. The area is 48 cm2. Find the height and the length of the base.

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: The base of a triangle is 4 cm greater than the height. The area is 48 cm2. Find the height and the length of the base.      Log On


   

Question 168065: The base of a triangle is 4 cm greater than the height. The area is 48 cm2. Find the height and the length of the base.
Answer by jojo14344(1513) About Me  (Show Source):
You can put this solution on YOUR website!
The base of a triangle is 4 cm greater than the height. The area is 48 cm2. Find the height and the length of the base.
.
A%5BT%5D=%281%2F2%29bh
But,b=h%2B4cm
Then,
48=%281%2F2%29%28h%2B4%29%28h%29
48%2A2=h%5E2%2B4h
h%5E2%2B4h-96=0,factor out perfect square
%28h%2B12%29%28h-8%29=0
ANSWERS: highlight%28h=8cm%29; h=-12
Height=8cm
Base=8%2B4=12cm
check,
48=%281%2F2%29%2812%29%288%29
48=%281%2F2%2996
48cm=48cm
Thank you,
Jojo