SOLUTION: the lengths of the sides of the sides of a triangle are consecutive even integers. find the length of the longest side if it is 22 units shorter than the perimeter.

Question 174026: the lengths of the sides of the sides of a triangle are consecutive even integers. find the length of the longest side if it is 22 units shorter than the perimeter.
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
Three consecutive even integers are: , , and .

Their sum, is the perimeter.

The longest side, is 22 units shorter than the perimeter, so is the perimeter.

Having two expressions for the perimeter, we can set them equal:

So the sides are 10, 12, and 14. The perimeter is then and so the answer checks.
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