SOLUTION: The lengths of the sides of a triangle are three consecutive integers. If the perimeter is 96 feet, find the lengths of the three sides of the triangle.

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Question 175408: The lengths of the sides of a triangle are three consecutive integers. If the perimeter is 96 feet, find the lengths of the three sides of the triangle.
Found 2 solutions by EMStelley, josmiceli:
Answer by EMStelley(208) About Me  (Show Source):
You can put this solution on YOUR website!
If you call the first integer x, you can represent the next two by x+1 and x+2. Thus, the perimeter of the triangle is
x+%2B+%28x%2B1%29+%2B+%28x%2B2%29+=+96
So
3x+%2B+3+=+96
Subtract 3 from both sides
3x+=+93
Now divide both sides by 3
x+=+31
So the three sides are 31 feet, 32 feet, and 33 feet long.

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Call the sides
a,a+%2B+1 and a+%2B+2
a+%2B+a+%2B+1+%2B+a+%2B+2+=+96ft
3a+%2B+3+=+96
3a+=+93
a+=+31
a+%2B+1+=+32
a+%2B+2+=+33
The sides are 31,32, and 33 ft