Apply the Triangle Inequality Theorem to determine which three side lengths form a triangle.(1 point)
10, 20, 15
20, 10, 30
8, 4, 12
8, 8, 20
The Triangle Inequality Theorem states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
1. 10 + 15 = 25 is greater than 20, 15 + 20 = 35 is greater than 10, 10 + 20 = 30 is greater than 15. Therefore, the side lengths 10, 20, and 15 form a triangle.
2. 10 + 20 = 30 is greater than 30, 10 + 30 = 40 is greater than 20, 20 + 30 = 50 is greater than 10. Therefore, the side lengths 10, 20, and 30 form a triangle.
3. 4 + 8 = 12 is equal to 12, 4 + 12 = 16 is greater than 8, 8 + 12 = 20 is equal to 20. Therefore, the side lengths 8, 4, and 12 form a triangle.
4. 8 + 8 = 16 is equal to 20, 8 + 20 = 28 is greater than 8, 8 + 20 = 28 is greater than 8. Therefore, the side lengths 8, 8, and 20 form a triangle.
which one is the answer
The combination of side lengths that form a triangle according to the Triangle Inequality Theorem is:
8, 4, 12