SOLUTION: The height of a triangle is 5cm more than the length of the base .if the area of the triangle is 75cm2, find the height and length of the base

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Question 920602: The height of a triangle is 5cm more than the length of the base .if the area of the triangle is 75cm2, find the height and length of the base
Answer by stanbon(75887) About Me  (Show Source):
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The height of a triangle is 5cm more than the length of the base .if the area of the triangle is 75cm2, find the height and length of the base
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Area = (1/2)(height)(base)
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75 = (1/2)(x+5)(x)
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150 = x^2 + 5x
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x^2 + 5x - 150 = 0
Factor::
(x+15)(x-10) = 0
Positive solution::
base:: x = 10 cm
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height:: x+5 = 15 cm
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Cheers,
Stan H.
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