# SOLUTION: In a right triangle, the length of one leg is two less than of the other leg. If the length of the hypotenuse is equal to the square root of 34, find the lengths of the two legs?

Algebra ->  Algebra  -> Pythagorean-theorem -> SOLUTION: In a right triangle, the length of one leg is two less than of the other leg. If the length of the hypotenuse is equal to the square root of 34, find the lengths of the two legs?      Log On

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 Click here to see ALL problems on Pythagorean-theorem Question 337891: In a right triangle, the length of one leg is two less than of the other leg. If the length of the hypotenuse is equal to the square root of 34, find the lengths of the two legs?Answer by edjones(7569)   (Show Source): You can put this solution on YOUR website!a=b+2, c=sqrt(34) a^2+b^2=c^2 (b+2)^2+b^2=34 b^2+4b+4+b^2=34 2b^2+4b-30=0 b^2+2b-15=0 (b+5)(b-3)=0 b=3, a=5 or vice versa. . Ed