Question 644367: The base of a triangle is 10 inches more than 2 times the height. If the area of the triangle is 14 square inches, find the base and height. Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! The base of a triangle is 10 inches more than 2 times the height. If the area of the triangle is 14 square inches, find the base and height.
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Let the height be "x":
Then the base is "2x+10"
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Area = (1/2)(base)(height)
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14 = (1/2)(2x+10)(x)
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2x^2 + 10x - 28= 0
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x^2 + 5x - 14 = 9
(x+7)(x-2) = 9
Positive solution:
x = 2(height)
2x+10 = 14 (base)
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Cheers,
Stan H.
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