SOLUTION: The length of the sides of a triangle are consecutive even intergers. Find the length of the longest side if it is 22 units shorter than the perimeter.

Algebra ->  Customizable Word Problem Solvers  -> Geometry -> SOLUTION: The length of the sides of a triangle are consecutive even intergers. Find the length of the longest side if it is 22 units shorter than the perimeter.      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 157618This question is from textbook Algebra Structure and Method
: The length of the sides of a triangle are consecutive even intergers. Find the length of the longest side if it is 22 units shorter than the perimeter. This question is from textbook Algebra Structure and Method

Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
sides=x, x+2, x+4
x+(x+2)+(x+4)=(x+4)+22
3x+6=x+26
3x-x=26-6
2x=20
x=20/2
x=10 for the shortest side.
10+2=12 for the middle length side
10+4=14 for the longest side.
Proof:
10+12+14=14+22
36=36