SOLUTION: the base of the triangle is 5m longer than its height. If the area is 12m^2 , find its base and height?

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Question 748285: the base of the triangle is 5m longer than its height. If the area is 12m^2 , find its base and height?
Answer by CubeyThePenguin(3113) About Me  (Show Source):
You can put this solution on YOUR website!
base = x + 5
height = x

1/2 * (x+5)(x) = 12
x^2 + 5x = 24
x^2 + 5x - 24 = 0
(x + 8)(x - 3) = 0
x = -8, x = 3

x has to be positive, so the base is 8 meters and the height is 3 meters.