SOLUTION: The hypotenuse of a right triangle is 25 cm long. one leg is 17 cm longer than the other. Find the length of the shorter leg. ___cm Thank you

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Question 41225: The hypotenuse of a right triangle is 25 cm long. one leg is 17 cm longer than the other. Find the length of the shorter leg.
___cm
Thank you
Found 2 solutions by fractalier, checkley71:
Answer by fractalier(6550) About Me  (Show Source):
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Answer by checkley71(8403) About Me  (Show Source):
You can put this solution on YOUR website!
(17+x)~2+X~2=25~2 OR 289+34X+X~2+X~2=625 OR 2X~2+34X-336 OR X~2+17x-168=0 or
(x+24)(x-7)=0 or x=-24 & x=7 answer is 7 cm
proof 7*7+24*24=625 or 49+576=625 or 625=625