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)
Responses
8 cm
8 cm
10 cm
10 cm
6 cm
6 cm
5 cm
The third side of a triangle must always be shorter than the sum of the other two sides and longer than the difference between the other two sides.
In this case, the two given sides measure 4 cm and 9 cm. Therefore, the third side must be shorter than 4 cm + 9 cm = 13 cm and longer than 9 cm - 4 cm = 5 cm.
Out of the given choices, the measure of the third side cannot be 5 cm, because it is the minimum length allowed.
Therefore, the answer is 5 cm.