SOLUTION: A right-angle triangle has a height 8cm more than twice the length of the base. If the area of the triangle is 96cm, find the demensions of the triangle.

Question 83548: A right-angle triangle has a height 8cm more than twice the length of the base. If the area of the triangle is 96cm, find the demensions of the triangle.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A right-angle triangle has a height 8cm more than twice the length of the base. If the area of the triangle is 96cm, find the demensions of the triangle.
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Area = (1/2)(base)(height)
96 cm^2 = (1/2)(x)(2x+8)
96 = x^2+4x
x^2+4x-96=0
(x+12)(x-8)=0
Positive solution: x=8 cm (length of the base)
2x+8 = 24 cm (the height of the triangle)
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Cheers,
Stan H.

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