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 5 cm
The third side of a triangle must be less than the sum of the other two sides and greater than the difference of the other two sides.
In this case, the sum of the two given sides is 4 cm + 9 cm = 13 cm, and the difference is 9 cm - 4 cm = 5 cm.
Therefore, the third side must be greater than 5 cm and less than 13 cm.
Out of the given choices, the third side cannot be 10 cm, as it is greater than the sum of the other two sides.
Therefore, the third side cannot be 10 cm.