SOLUTION: The hypotenuse of a right triangle is 2 cm longer than one leg, The other leg has length 8 cm. Find the length of the hypotenuse.

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Question 1169297: The hypotenuse of a right triangle is 2 cm longer than one leg, The other leg has length 8 cm. Find the length of the hypotenuse.
Answer by ikleyn(52775) About Me  (Show Source):
You can put this solution on YOUR website!
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Solve this quadratic equation


    x%5E2 + 8%5E2 = %28x%2B2%29%5E2


    x%5E2 + 64 = x%5E2+%2B+4x+%2B+4

                64 = 4x + 4

            64 - 4 = 4x

                60 = 4x

                x = 60/4 = 15.


ANSWER.  The length of the hypotenuse is  (x+2) = 17 cm.

          The legs are 15 cm and 8 cm.

Solved.