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    SELECT CASE WHEN A + B > C AND A + C > B AND B + C > A THEN -- Check for valid triangle CASE WHEN A = B AND B = C THEN 'Equilateral' WHEN (A = B and B != C) or (A != B and B = C) THEN 'Isosceles' WHEN A != B AND B != C THEN 'Scalene' END ELSE 'Not A Triangle' -- If the sides don't form a valid triangle END AS TriangleType FROM Triangles;