SOLUTION: The sides of right triangle are consecutive multiples of three. Find the length of the hypotenuse.

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Question 329105: The sides of right triangle are consecutive multiples of three. Find the length of the hypotenuse.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Use the Pythagorean theorem,
%283n%29%5E2%2B%283%28n%2B1%29%29%5E2=%283%28n%2B2%29%29%5E2
9n%5E2%2B9%28n%5E2%2B2n%2B1%29=9%28n%5E2%2B4n%2B4%29
2n%5E2%2B2n%2B1=n%5E2%2B4n%2B4
n%5E2-2n-3=0
%28n-3%29%28n%2B1%29=0
Only the positive solution makes sense in this problem,
n-3=0
n=3
The hypotenuse is 3%28n%2B2%29=15.