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. Would it be 10 cm 8 cm 5 cm or 6 cm

The third side must be greater than the difference between the other two sides and less than the sum of the other two sides in order to form a triangle.

In this case, the difference between the two given sides is 9 cm - 4 cm = 5 cm and the sum of the two given sides is 9 cm + 4 cm = 13 cm.

Considering this, the third side cannot be 10 cm, as it is greater than the sum of the other two sides (10 cm > 13 cm). Therefore, the third side cannot be 10 cm.