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

The longest side can have a length of 6, 8, or 10 units. It cannot have an odd length.

If the third side has to be the longest, the two shorter sides can only have integer lengths of

1 and 2

2 and 3

3 and 4