Question: If the lengths of two sides of a triangle are 6 cm and 8 cm, what is the range of possible lengths for the third side?

Options:

1. 2 cm to 14 cm
2. 2 cm to 10 cm
3. 2 cm to 12 cm
4. 2 cm to 8 cm

Correct Answer: 2 cm to 10 cm

Solution:

The length of the third side must be greater than the difference of the other two sides and less than their sum: |6 - 8| < third side < 6 + 8, which gives 2 cm < third side < 14 cm.