Two sides of a triangle measure 4 cm and 9 cm. Determine which of the following choices cannot be the measure of the third side.(1 point)
5 cm
6 cm
8 cm
10 cm
The third side of a triangle must be greater than the difference of the other two sides and less than the sum of the other two sides.
In this case, the difference of the two sides is |4 - 9| = 5 cm, and the sum of the two sides is 4 + 9 = 13 cm.
Therefore, the measure of the third side cannot be 6 cm, since it is not greater than 5 cm.
The measure of the third side can be 5 cm, 8 cm, or 10 cm.