# SOLUTION: One leg of a right triangle is 14 meters longers than the other leg. The hypotenuse is 26 meters long. Find the length of each leg.

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 Question 186238: One leg of a right triangle is 14 meters longers than the other leg. The hypotenuse is 26 meters long. Find the length of each leg.Answer by checkley77(12569)   (Show Source): You can put this solution on YOUR website!X^2+(X+14)^2=26^2 X^2+X^2+28X+196=676 2X^2+28X+196-676=0 2X^2+28X-480=0 2(X^2+14X-240)=0 2(X+24)(X-10)=0 X-10=0 X=10 M. ANS. FOR THE SHORTER LEG. 10=14=24 M. ANS. FOR THE LONGER LEG. PROOF: 10^2+24^2=26^2 100+576=676 676=676