SOLUTION: The perimeter of a triangle is 42 inches. The lengths of the sides are represented by three consecutive integers. Find the lengths of the sides of the triangle.

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Question 219617: The perimeter of a triangle is 42 inches. The lengths of the sides are represented by three consecutive integers. Find the lengths of the sides of the triangle.
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
The perimeter of a triangle is found by adding the lengths of the three sides
The sum of three unknown consecutive integers can be expressed:
x%2B%28x%2B1%29%2B%28x%2B2%29+=+42
3x%2B3+=+42 Subtract 3 from both sides.
3x+=+39 Divide both sides by 3.
x+=+13 and...
x%2B1+=+14 and...
x%2B2+=+15
The lengths of the three sides are:
13 inches, 14 inches, and 15 inches.