SOLUTION: The base of a triangle is 4 inches more than 2 times the height. If the area is 8 square inches, find the base and the height.

Algebra ->  Triangles -> SOLUTION: The base of a triangle is 4 inches more than 2 times the height. If the area is 8 square inches, find the base and the height.       Log On


   

Question 1153059: The base of a triangle is
4
inches more than
2
times the height. If the area is
8
square inches, find the base and the height.
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

The base of a triangle is 4 inches more than 2 times the height.
=>b=2h%2B4....eq.1
If the area is 8 square inches,
A=%281%2F2%29bh
8=%281%2F2%29%282h%2B4%29h
8=%28h%2B2%29h
h%5E2%2B2h-8=0
%28h+-+2%29+%28h+%2B+4%29+=+0
=> solutions: h=2 or h=-4-> since height, disregard negative solution
so, h=2
go to eq.1
b=2h%2B4....eq.1, substitute h
b=2%2A2%2B4
b=8
answer: the base is 8 and the height is 2