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 ->
Polynomials-and-rational-expressions
-> 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
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
