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.
For example, let's say we have three side lengths: 5, 6, and 10. To determine if these side lengths form a triangle, we apply the Triangle Inequality Theorem:
- 5 + 6 > 10 (True)
- 5 + 10 > 6 (True)
- 6 + 10 > 5 (True)
Since all three statements are true, the side lengths 5, 6, and 10 can form a triangle.
Apply the Triangle Inequality Theorem to determine which three side lengths form a triangle.(1 point)
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