SOLUTION: The lengths of a triangle are given by three consecutive even integers. The perimeter is 24 m. What is the length of each side?

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Question 836006: The lengths of a triangle are given by three consecutive even integers. The perimeter is 24 m. What is the length of each side?
Answer by MathLover1(20849) About Me  (Show Source):
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three consecutive even integers:
First integer is "x"
Add 2 to get the next even integer, it is "x%2B2"
And the third is "x%2B4"
The perimeter is P=24m
We know three consecutive even integers represent sides of a triangle and their sum is equal to perimeter P, so we get the equation:

x%2B%28x%2B2%29%2B%28x%2B4%29+=+24
+3x+%2B6=+24
+3x+=+24-6
+3x+=18
+x+=6
so, the length of each side is:
x=6

x%2B2=8

x%2B4=10