Question 311556: The base of a triagle is 6cm greater than the height. The area is 36cm^2. Find the height and the length of the base. Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! The base of a triangle is 6cm greater than the height. The area is 36cm^2. Find the height and the length of the base.
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Area = (1/2)bh
36 = (1/2)*(h+6)h
h^2 + 6h - 72 = 0
Factor:
(x+12)(x-6) = 0
Positive solution:
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h = 6 (height)
h+6 = 12 (base)
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Cheers,
Stan H.
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