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) (1 point) Responses 8 cm 8 cm 6 cm 6 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.
In this case, the two given sides are 4 cm and 9 cm.
Let's check each option:
1. 8 cm: 4 + 8 = 12 > 9 (valid)
2. 6 cm: 4 + 6 = 10 > 9 (valid)
3. 10 cm: 4 + 10 = 14 > 9 (valid)
4. 5 cm: 4 + 5 = 9 (not valid)
Therefore, the third side cannot be 5 cm.