SOLUTION: The area of a triangular flag is 132 sq. centimeters. Its altitude is 2 centimeters longer than twice its base. Find the lengths of the altitude and the base.
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Question 923831: The area of a triangular flag is 132 sq. centimeters. Its altitude is 2 centimeters longer than twice its base. Find the lengths of the altitude and the base.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
The area of a triangular flag is 132 sq. centimeters. Its altitude is 2 centimeters longer than twice its base. Find the lengths of the altitude and the base.
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Area = length*width
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L = x
W = 2x+2
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132 = x*(2x+2)
2x^2 + 2x - 132 = 0
x^2 + x - 66 = 0
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x = [-1 +- sqrt(1 -4*-66)]/2
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x = [-1 +- sqrt(265)]/2
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x = 7.64 cm
2x+2 = 17.68 cm
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Cheers,
Stan H.
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