SOLUTION: You have a right triangle with sides x+2, 2x, and 10(the hypotenuse). Find the value of x.

Algebra ->  Pythagorean-theorem -> SOLUTION: You have a right triangle with sides x+2, 2x, and 10(the hypotenuse). Find the value of x.      Log On


   

Question 859519: You have a right triangle with sides x+2, 2x, and 10(the hypotenuse). Find the value of x.
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
You have a right triangle with sides x+2, 2x, and 10(the hypotenuse). Find the value of x.
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Use Pythagoras::
(2x)^2 + (x+2)^2 = 10^2
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4x^2 + x^2 + 4x + 4 = 100
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5x^2 + 4x -96 = 0
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x = 4
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2x = 8
x+2 = 6
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Cheers,
Stan H.