Explanation:
According to the triangle inequality theorem, the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
In this case, let's consider the two given sides: 3m and 9m.
To find the possible lengths for the third side, we can use the following inequality:
9m - 3m < third side < 9m + 3m
Simplifying the inequality, we get:
6m < third side < 12m
Therefore, the possible lengths for the third side of the triangle are greater than 6m and less than 12m.
In summary, the third side of the triangle can have a length greater than 6m and less than 12m.