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You are right. I finally solved it but issue with the problem statement is what they say in problem is correct 'triangle inequality' whereas what they are asking for is incorrect. Equality exists for triangle with area zero. So still it is a triangle but zero area (Can be argued otherwise also) but problem statement is wrong.

Would like to correct my statement that triangle with area=0 is still a triangle is incorrect.

You are so right too. Brilliant thought.
I also realized that Zero area is only true for the equality condition (Ex. A+B=C) but not for the less than case (A+B

I would disagree as triangle is defined by 3 points on the plane that are not on the same line. Your area "zero" triagle is not a triagle as all 3 point are in line which violates definition of the triangle.

## Type of Triangle

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You are right. I finally solved it but issue with the problem statement is what they say in problem is correct 'triangle inequality' whereas what they are asking for is incorrect. Equality exists for triangle with area zero. So still it is a triangle but zero area (Can be argued otherwise also) but problem statement is wrong.

Would like to correct my statement that triangle with area=0 is still a triangle is incorrect.Also thanks for the tip, I was wondering what am I doing wrong.

You are so right too. Brilliant thought. I also realized that Zero area is only true for the equality condition (Ex. A+B=C) but not for the less than case (A+B

same, I was losing it over where I am going wrong!

I would disagree as triangle is defined by 3 points on the plane that are not on the same line. Your area "zero" triagle is not a triagle as all 3 point are in line which violates definition of the triangle.

yes offcourse sum of any two sides must be greater than the third one.