SOLUTION: The lengths of the sides of a triangle can be represented by three consecutive integers. The perimeter of the triangle is 96 cm. Find the length of the longest side of the triangle

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Question 893178: The lengths of the sides of a triangle can be represented by three consecutive integers. The perimeter of the triangle is 96 cm. Find the length of the longest side of the triangle. Show the solution.
Answer by josgarithmetic(39615) About Me  (Show Source):
You can put this solution on YOUR website!
Assign variables.
Consecutive Integers: x, x+1, x+2.

x%2Bx%2B1%2Bx%2B2=96
3x%2B3=96
3x=93
x=31

Longest side is 31%2B2=highlight%2833%29.