A triangle has a perimeter 13. The two shorter sides have integer lengths equal to x and x + 1. Which of the following could be the length of the other side?

4
6
8
None of the above

Correct Answer: 6

Explanation:

The measure of the third side of a triangle must lie between the sum and the difference of the other two sides. Using this fact along with the answer choices, we can eliminate the wrong answers.

Option A cannot be correct because 4 would not be the longest side.(sides 4, 5, and 4)

Option B could be correct because the other two sides would be 3 and 4.

Option C cannot be correct because this third side would be greater than the sum of the other two sides.

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