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
6 cm
6 cm
8 cm
8 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.
For a triangle with sides measuring 4 cm and 9 cm, the third side must be:
- shorter than 4 + 9 = 13 cm, and
- longer than 9 - 4 = 5 cm.
Using these constraints, we can determine that the measure of the third side cannot be 6 cm.