# SOLUTION: The hypotenuse of a right triangle is 5 inches. The lengths of the two legs are given by two consecutive integers. Find the lengths of the two legs.

Algebra ->  Algebra  -> Triangles -> SOLUTION: The hypotenuse of a right triangle is 5 inches. The lengths of the two legs are given by two consecutive integers. Find the lengths of the two legs.      Log On

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 Question 225108: The hypotenuse of a right triangle is 5 inches. The lengths of the two legs are given by two consecutive integers. Find the lengths of the two legs.Found 2 solutions by rfer, Earlsdon:Answer by rfer(12662)   (Show Source): You can put this solution on YOUR website!This is a triple A good ole 3, 4, 5 triangle Answer by Earlsdon(6287)   (Show Source): You can put this solution on YOUR website!Let the two legs be x and x+1, then from the Pythagorean theorem, we have: Subtract 25 from both sides. Factor out a 2. so... Factor this quadratic equation. and... or Discard the negative solution as lengths are positive. and The two legs are 3 inches and 4 inches.