SOLUTION: The Lengths 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 157240This question is from textbook
: The Lengths 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. This question is from textbook

Answer by checkley77(12844) (Show Source): You can put this solution on YOUR website!
Sides=x, x+2, x+4
(x+4)=(x+x+2+x+4)-22
x+4=3x+6-22
x-3x=-16-4
-2x=-20
x=-20/-2
x=10 for the shortest side.
10+2=12 for the next side.
10+4=14 for the longest side.
Proof:
14=10+12+14-22
14=14

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