A) Apply the Triangle Inequality Theorem to determine which three side lengths form a triangle. (1 point)
20, 10, 30
0 8,4,12
10, 20, 15
8, 8,20
To determine if the three side lengths form a triangle, we need to apply the Triangle Inequality Theorem, which states that the sum of any two sides of a triangle must be greater than the third side.
1) For the side lengths 20, 10, 30:
20 + 10 = 30, which is not greater than 30. Therefore, these sides do not form a triangle.
2) For the side lengths 8, 4, 12:
8 + 4 = 12, which is equal to the third side. Therefore, these sides do not form a triangle.
3) For the side lengths 10, 20, 15:
10 + 15 = 25, which is greater than the third side of 20. Therefore, these sides do form a triangle.
4) For the side lengths 8, 8, 20:
8 + 8 = 16, which is less than the third side of 20. Therefore, these sides do not form a triangle.
The side lengths 10, 20, 15 form a triangle according to the Triangle Inequality Theorem.