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(Entry problem introduction)
Given three side lengths, determine if they can form a valid triangle. This problem tests the triangle inequality theorem.
A triangle is valid if the sum of any two sides is greater than the third side. If sides are a, b, and c, you need a + b > c, a + c > b, and b + c > a.
This is a geometry fundamentals problem. No complex formulas, just checking three conditions.
