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A triangle has perimeter of 13. The two shorter sides have integer lengths equal to z and z+1. Which of the following could be the length of the other side?
We know that the sum of the lengths of the shorter sides has to be more than the length of the longer one.
Looking at the options, we can't have 8 as the value for the longest side because then this side would be greater than the sum of the other two sides.
Similarly, we can't have 2 or 4 as values for the longest side as it wouldn't be the longest side then.
The correct answer is 6 here, where the other sides are 3 & 4.
