Question 954279: 1. The base of a triangle is 6 cm longer than its altitude. The area of a triangles 56cm^2. Find the length of the base. Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! 1. The base of a triangle is 6 cm longer than its altitude. The area of a triangles 56cm^2. Find the length of the base.
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Area = (1/2)(base)(altitude)
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56 = (1/2)(x + 6)(x)
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112 = x^2 + 6x
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x^2 + 6x - 112 = 0
Factor:
(x-8)(x+ 14) = 0
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altitude = x = 8 cm
base = (x+6) = 14 cm
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Cheers,
Stan H.
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