The lengths of two sides of a triangle are 8 feet and 12 feet. Find the range of the possible lengths for the third side

Step-by-step explanation:

The longest side of a triangle must be less than the sum of the shorter sides.

If 8 and 12 are the shorter sides, and c is the longest side, then:

c < 8 + 12

c < 20

If c and 8 are the shorter sides, and 12 is the longest side then:

12 < c + 8

4 < c

The range of possible lengths for the third side is:

4 < c < 20