SOLUTION: the base of a triangle is 6 meters less than the height. the area is 12 meters squared. find the base and the height of the triangle.
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Question 330266: the base of a triangle is 6 meters less than the height. the area is 12 meters squared. find the base and the height of the triangle. Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! the base of a triangle is 6 meters less than the height. the area is 12 meters squared. find the base and the height of the triangle.
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Area = (1/2)base*height
12 = (1/2)(h-6)h
24 = h^2-6h
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Rearrange:
h^2-6h-24 = 0
h = [6+- sqrt(36-4*-24)]/2
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h = [6+-sqrt(132)]/2
Positive solution:
h = [6 + 2sqrt(33)]/2
height = 3+sqrt(33) meters
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base = height-6 = -3+sqrt(33) meters
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Cheers,
Stan H.
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