When a triangle is formed??
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Condition on the sides
The triangle inequality states that the sum of the lengths of any two sides of a triangle must be greater than or equal to the length of the third side. That sum can equal the length of the third side only in the case of a degenerate triangle, one with collinear vertices.
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All you have to do is use the triangle inequality Theorem, which states that the sum of two side length of a triangle is always greater than the third side. If this is true for all three combination of added side lengths, than you will have a triangle.
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