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
10 cm
10 cm
5 cm
The sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
Let the two sides of the triangle that measure 4 cm and 9 cm be A and B, respectively. The third side, C, must satisfy the following condition:
C < A + B
Substituting the given values:
C < 4 cm + 9 cm
C < 13 cm
Therefore, the measure of the third side cannot be 10 cm (answer choice 10 cm).