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 8 cm 8 cm 6 cm 6 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.
To determine which of the given choices cannot be the measure of the third side, we need to check if the sum of 4 cm and 9 cm is greater than the given choice.
4 cm + 9 cm = 13 cm
Therefore, the lengths that cannot be the measure of the third side are:
- 5 cm (since 5 cm < 13 cm)
- 6 cm (since 6 cm < 13 cm)