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    SELECT CASE WHEN A + B <= C OR A + C <= B OR B + C <= A THEN 'Not A Triangle'

    WHEN A = B AND B = C 
    THEN 'Equilateral'
    
    WHEN A = B OR B = C OR A = C
    THEN 'Isosceles'
    
    ELSE 'Scalene'
    

    END AS triangle_type FROM triangles;