SOLUTION: The length of the sides of a triangle are consecutive odd intergers. Find the length of the longest side if it is 20 units shorter than the perimeter

Question 907156: The length of the sides of a triangle are consecutive odd intergers. Find the length of the longest side if it is 20 units shorter than the perimeter
Answer by JoelSchwartz(130) (Show Source): You can put this solution on YOUR website!
x=a odd number
x is the smallest side of the triangle
A consecutive odd number is the next larger odd number. If i add two to any odd number i get the next larger odd number.
x+2=first consecutive odd number
x+2 is the middle size side
x+4=second consecutive odd number
x+4 is the largest side of the triangle
x+4=p-20
x+2=p-22
x=p-24
perimeter is the sum of the sides
p-20+p-22+p-24=p
3p-66=p
3p-p-66+66=66+p-p
2p=66
p=33
The largest side is 33-20=13

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