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

10 cm
10 cm

6 cm
6 cm

5 cm
5 cm

8 cm

1 answer

A triangle inequality states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

In this case, the two sides given are 4 cm and 9 cm.

4 cm + 9 cm = 13 cm

Therefore, any choice greater than or equal to 13 cm cannot be the measure of the third side.

So, the third side cannot be 10 cm or 10 cm.