# SOLUTION: One leg of a right triangle is 2 ft more than twice the other leg. The hypotenuse is 1 ft. more than the longer leg. Find the length of the hypotenuse of the right triangle.

Algebra ->  Algebra  -> Formulas -> SOLUTION: One leg of a right triangle is 2 ft more than twice the other leg. The hypotenuse is 1 ft. more than the longer leg. Find the length of the hypotenuse of the right triangle.       Log On

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 Click here to see ALL problems on Geometric formulas Question 199413: One leg of a right triangle is 2 ft more than twice the other leg. The hypotenuse is 1 ft. more than the longer leg. Find the length of the hypotenuse of the right triangle. Answer by edjones(7569)   (Show Source): You can put this solution on YOUR website!Let a=longer leg, b=shorter, c=hypotenuse. a=2b+2 c=a+1 c=2b+2+1 a^2+b^2=c^2 (2b+2)^2+b^2=(2b+3)^2 4b^2+8b+4+b^2=4b^2+12b+9 b^2-4b-5=0 Subtract the right side from the left (b-5)(b+1)=0 b=5' a=12' c=13' . Ed