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

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(8007) (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
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