Which set of measurements could be the side lengths of a triangle?

A.) 3m, 6m, 3m

B.) 4m, 7m, 12m

C.) 9m, 5m, 3m

D.) 4m, 11m, 9m

D.) 4m, 11m, 9m

Step-by-step explanation:

According to the Triangle Inequality Theorem, the sum of any two sides of a triangle must be larger than the third side in order to form a triangle. Using the two shortest sides, you can find the sum and check to make sure it is larger than the third:

3m + 3m = 6m NOT greater than 6m

4m + 7m = 11m NOT greater than 12m

5m + 3m = 8m NOT greater than 9m

4m + 9m = 12m YES greater than 11m