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 8 cm 8 cm 5 cm 5 cm 10 cm
The third side of a triangle must 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 sides given are 4 cm and 9 cm.
The sum of these two sides is 4 cm + 9 cm = 13 cm.
The difference between these two sides is 9 cm - 4 cm = 5 cm.
Therefore, any side that is longer than 13 cm or shorter than 5 cm cannot be the measure of the third side.
Based on the choices given, the measure of 10 cm cannot be the measure of the third side since it is longer than 13 cm.
So, the answer is 10 cm.