Apply the Triangle Inequality Theorem to determine which three side lengths form a triangle. 8, 8, 20 8, 4, 12 10, 20, 15 20, 10, 30

Answer 1

1. For sides of length 8, 8, 20:
- 8 + 8 = 16 which is less than 20, so a triangle can be formed.

2. For sides of length 8, 4, 12:
- 8 + 4 = 12 which is equal to 12, but 12 is not greater than 12, so a triangle cannot be formed.

3. For sides of length 10, 20, 15:
- 10 + 20 = 30 which is greater than 15, but 10 + 15 = 25 which is less than 20, so a triangle cannot be formed.

4. For sides of length 20, 10, 30:
- 20 + 10 = 30 which is equal to 30, but 20 + 30 = 50 which is greater than 10, so a triangle cannot be formed.

Therefore, only sides of length 8, 8, and 20 form a triangle.