SOLUTION: the hypotenuse of a right angle triangle is 8 cm. if one leg is 2 cm longer than the other, find their lengths (2 decimal places)
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Question 949829: the hypotenuse of a right angle triangle is 8 cm. if one leg is 2 cm longer than the other, find their lengths (2 decimal places) Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! the hypotenuse of a right angle triangle is 8 cm. if one leg is 2 cm longer than the other, find their lengths (2 decimal places)
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Use Pythagoras::
x^2 + (x+2)^2 = 8^2
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x^2 + x^2 + 4x +4 = 64
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2x^2 + 4x - 60 = 0
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x^2 + 2x - 30 = 0
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Positive solution::
x = 4.57 cm
x+2 = 6.47 cm
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Cheers,
Stan H.
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