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
5 cm
5 cm
10 cm
10 cm
6 cm
6 cm
8 cm
The third side of a triangle must be greater than the difference of the two sides and less than the sum of the two sides.
In this case, the two given sides measure 4 cm and 9 cm.
The difference between these two sides is 9 cm - 4 cm = 5 cm.
The sum of these two sides is 9 cm + 4 cm = 13 cm.
Therefore, the third side must be greater than 5 cm and less than 13 cm.
Out of the choices given, 10 cm is the only value that does not fall within this range.
So, 10 cm cannot be the measure of the third side of the triangle.