SOLUTION: the longer leg of a right triangle is 2 cm less than twice the shorter leg. the hypotenuse is 14 cm less than three times the shorter leg
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Question 970106: the longer leg of a right triangle is 2 cm less than twice the shorter leg. the hypotenuse is 14 cm less than three times the shorter leg Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! the longer leg of a right triangle is 2 cm less than twice the shorter leg. the hypotenuse is 14 cm less than three times the shorter leg
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shorter leg: x
longer leg: 2x-2
hypot: 3x-14
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Use Pythagoras to solve for "x":
x^2 + (2x-2)^2 = 14^2
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x^2 + 4x^2 -8x +4 = 196
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5x^2 - 8x - 192 = 0
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x = [8 +- sqrt(8^2 - 4*5*-192)]/10
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x = [8 +- sqrt(3904)]/10
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x = [8 +- 62.48]/10
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x = 7.048 or x = -5.448
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Cheers,
Stan H.
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