SOLUTION: The lengths of the sides of a triangle are consecutive odd integers. The perimeter is 39 meters. Find the measure of each side.

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Question 909555: The lengths of the sides of a triangle are consecutive odd integers. The perimeter is 39 meters. Find the measure of each side.
Found 2 solutions by Alan3354, MathLover1:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
39/3 = the middle integer

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
Consecutive integers are integers that follow in sequence, each number being 1 more than the previous number, represented by n, n+%2B1, n+%2B+2, n+%2B+3, ..., where n is any integer. If we start with an odd number and each number in the sequence is 2 more than the previous number then we will get consecutive+odd+integers.
if the lengths of the sides of a triangle are consecutive odd integers, then they are n, n%2B2, n%2B4
if the perimeter is 39m, then n%2B%28n%2B2%29%2B%28n%2B4%29=39m ...solve for n
n%2Bn%2B2%2Bn%2B4=39
3n%2B6=39m
3n=39-6
3n=33
n=33%2F3
highlight%28n=11%29
now find sides n%2B2 and n%2B4
n%2B2=11%2B2=highlight%2813%29
n%2B4=11%2B4=highlight%2815%29

so, the measure of each side is: highlight%2811m%29,highlight%2813m%29, and highlight%2815m%29