# SOLUTION: The lengths of three sides of a right triangle are consecutive even integers. Find the length of each side of the triangle. (Recall the Pythagorean Theorem: a^2 + b^2 = c^2, where

Algebra ->  -> SOLUTION: The lengths of three sides of a right triangle are consecutive even integers. Find the length of each side of the triangle. (Recall the Pythagorean Theorem: a^2 + b^2 = c^2, where       Log On

 Ad: Mathway solves algebra homework problems with step-by-step help! Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!

 Click here to see ALL problems on Polynomials-and-rational-expressions Question 366715: The lengths of three sides of a right triangle are consecutive even integers. Find the length of each side of the triangle. (Recall the Pythagorean Theorem: a^2 + b^2 = c^2, where a and b are the lengths of the two legs and c is the length of the hypotenuse.) Thank you for the help!Answer by edjones(7794)   (Show Source): You can put this solution on YOUR website!Let the integers be x, x+1 and x+2. x^2+(x+1)^2=(x+2)^2 Pythagoras x^2+x^2+2x+1=x^2+4x+4 x^2-2x-3=0 (x-3)(x+1)=0 x=3 . Ed