SOLUTION: the hypotenuse of a right triangle is 10 cm long. one leg is twice as long as the other. what are the lengths of the legs

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Question 876313: the hypotenuse of a right triangle is 10 cm long. one leg is twice as long as the other. what are the lengths of the legs
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi

Applying the Pythagorean Theorem

 x^2 + 2x^2 = 10^2

    2x^2 = 100   

      x^2 = 50  (tossing out negative solution for unit measure)

      x = √50, the lengths of shorter leg.  Longer 2√50