SOLUTION: The length of the shortest side of a right triangle is 6 inches. The lengths of the other two sides are represented by consecutive odd integers. What is the lengths of the other tw
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Question 833653: The length of the shortest side of a right triangle is 6 inches. The lengths of the other two sides are represented by consecutive odd integers. What is the lengths of the other two sides? Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! The length of the shortest side of a right triangle is 6 inches. The lengths of the other two sides are represented by consecutive odd integers. What is the lengths of the other two sides?
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shortest: 6 inches
hypotenuse: 2x+1
other: 2x-1
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Pythagoras:
6^2 + (2x-1)^2 = (2x+1)^2
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36 + 4x^2 -4x + 1 = 4x^2 + 4x + 1
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8x = 36
x = 9/2
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hypotenuse = 2x+1 = 9+1 = 10 inches
other = 2x-1 = 8 inches
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Cheers,
Stan H.
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