SOLUTION: the area of a triangle is 66m2. the base is 1m than the height. find the base and height of the triangle using quadratic equation.

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Question 755378: the area of a triangle is 66m2. the base is 1m than the height. find the base and height of the triangle using quadratic equation.
Answer by CubeyThePenguin(3113) About Me  (Show Source):
You can put this solution on YOUR website!
height = x
base = x - 1

area = 1/2 * (height) * (base)
66 = 1/2 * x(x-1)
132 = x^2 - x
0 = x^2 - x - 132
0 = (x - 12)(x + 11)

Distance must be positive, so x = 12. The height is 12 m and the base is 11 m.