SOLUTION: The altitude of a triangle is 4 cm longer than it's base. If the area of the triangle is 30 cm square, find the base and it's altitude.

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: The altitude of a triangle is 4 cm longer than it's base. If the area of the triangle is 30 cm square, find the base and it's altitude.      Log On


   

Question 329118: The altitude of a triangle is 4 cm longer than it's base. If the area of the triangle is 30 cm square, find the base and it's altitude.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
A=%281%2F2%29bh=30
%281%2F2%29b%28b%2B4%29=30
b%5E2%2B4b=60
b%5E2%2B4b-60=0
%28b%2B10%29%28b-6%29=0
Only positive b solutions make sense here.
b-6=0
b=6
Then
h=6%2B4=10