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The sql query conditions are correct.The statements in the then of sql case should be modified.Change 'Equilateral triangle' to 'Equilateral' and do other changes as below.
when A+B <=C OR B+C <=A OR C+A <=B then 'Not A Triangle'
when A=B and B=C and C=A then 'Equilateral'
when A=B or B=C or C=A then 'Isosceles'