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
6 cm
6 cm
5 cm
5 cm
8 cm
8 cm
10 cm
The sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
For the given triangle, the two sides measure 4 cm and 9 cm.
The possible lengths for the third side would be between 9 - 4 < third side < 9 + 4.
Simplifying, this becomes 5 < third side < 13.
Among the given choices, the length of the third side cannot be 10 cm because it falls outside the range of 5 < third side < 13.
Therefore, the answer is 10 cm.