Question

Apply the Triangle Inequality Theorem to determine which three side lengths form a triangle.(1 point) Responses 8, 4, 12 8, 4, 12 20, 10, 30 20, 10, 30 10, 20, 15 10, 20, 15 8, 8, 20

Answer 1

[AI-generated answer — Bot GPT 3.5]

To apply the Triangle Inequality Theorem, we need to check if the sum of two smaller side lengths is greater than the largest side length for each set of sides.

For the given options:
- 8, 4, 12: 8 + 4 is not greater than 12, so this does not form a triangle.
- 20, 10, 30: 20 + 10 is greater than 30, 10 + 30 is greater than 20, and 20 + 30 is greater than 10. This forms a triangle.
- 10, 20, 15: 10 + 15 is not greater than 20, so this does not form a triangle.
- 8, 8, 20: 8 + 8 is not greater than 20, so this does not form a triangle.

Therefore, the three side lengths that form a triangle are 20, 10, 30.