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Inequalities in One Triangle: Only valid triangle when the sum of two sides exceeds the third.

Diagram illustrating the triangle inequality theorem with two triangles, showing side lengths and a note that only one situation forms a valid triangle when the sum of two sides is greater than the third.

Diagram illustrating the triangle inequality theorem with two triangles, showing side lengths and a note that only one situation forms a valid triangle when the sum of two sides is greater than the third.

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