SOLUTION: the area of a triangle is 30 in. The base of the triangle measures 2in more than twice the height of the triangle. Find the measures of the base and height
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Question 1003851: the area of a triangle is 30 in. The base of the triangle measures 2in more than twice the height of the triangle. Find the measures of the base and height Answer by Boreal(15235) (Show Source):
You can put this solution on YOUR website! b=base
2h=b-2
h=(b-2)/2
A=(1/2)bh
=b*(b-2)/4=30
(b^2-2b)/4=30
b^2-2b=120
b^2-2b-120=0
(b-12)(b+10)=0
b=12 in
h=5 in
A=(1/2)bh=(1/2)*60=30 in^2
