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    MySQL

    SELECT CASE WHEN (A + B <= C) OR (A + C <= B) OR (C + B <= A) THEN 'Not A Triangle' WHEN (A = B AND A = C) THEN 'Equilateral' WHEN (A = B) OR (A = C) OR (C = B) THEN 'Isosceles' ELSE 'Scalene' END AS triangle_type FROM TRIANGLES;