# SOLUTION: A right triangle has sides of length such that the hypotenuse is 3 inches less than twice the shorter leg and the longer leg is 3 inches longer the shorter leg. how long is each si

Algebra ->  Algebra  -> Quadratic Equations and Parabolas  -> Quadratic Equation Customizable Word Problems -> SOLUTION: A right triangle has sides of length such that the hypotenuse is 3 inches less than twice the shorter leg and the longer leg is 3 inches longer the shorter leg. how long is each si      Log On

 Ad: You enter your algebra equation or inequality - Algebrator solves it step-by-step while providing clear explanations. Free on-line demo . Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help! Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!

 Quadratics: solvers Practice! Answers archive Lessons Word Problems In Depth

 Click here to see ALL problems on Quadratic Equations Question 378183: A right triangle has sides of length such that the hypotenuse is 3 inches less than twice the shorter leg and the longer leg is 3 inches longer the shorter leg. how long is each side of the triangle?Answer by ewatrrr(10682)   (Show Source): You can put this solution on YOUR website! Hi, Let x represent the length of the shorter leg. then the hypotenuse is (2x-3) and the other leg is (x+3) Applying the Pythagorean Theorem*** x^2 + (x+3)^2 = (2x-3)^2 solving for x x^2 + x^2 + 6x + 9 = 4x^2 -12x + 9 2x^2 - 18x = 0 2x(x-9)= 0 x = 0 Extraneious solution x = 9, the length of the shorter leg. Other two sides are 12 & 15 CHECKING our Answer*** 81 + 144 = 225