Which Triangle is not Exist? | Degenerate Triangle | Math Olympiad Questions #geometry #algebra

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Which Triangle is not Exist? | Degenerate Triangle | Math Olympiad Questions #geometry #algebra
Which Triangle is not Exist? | Degenerate Triangle | Math Olympiad Questions #geometry #algebra
Which Triangle is not Exist? | Degenerate Triangle | Math Olympiad Questions #geometry #algebra
Which Triangle is not Exist? | Degenerate Triangle | Math Olympiad Questions #geometry #algebra
Which Triangle is not Exist? | Degenerate Triangle | Math Olympiad Questions #geometry #algebra
Which Triangle is not Exist? | Degenerate Triangle | Math Olympiad Questions #geometry #algebra
Which Triangle is not Exist? | Degenerate Triangle | Math Olympiad Questions #geometry #algebra
Which Triangle is not Exist? | Degenerate Triangle | Math Olympiad Questions #geometry #algebra
Which Triangle is not Exist? | Degenerate Triangle | Math Olympiad Questions #geometry #algebra
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Thank you for explaining. [ My answer: ] Exist: B and D, NOT Exist: A and C
In this video, A+B≧C, B+C≧A, and C+A≧B are used for solving. But, it should be A+B>C, B+C>A, and C+A>B
As for "A", 1+2=3. It does NOT satisfy 1+2>3. Thus, "A" does not exist.

sy
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For the construction of triangle the prime condition is that sum of any 2 sides of a triangle must be greater than than the 3rd side.
As such Yeliow and Green triangles can not exist.

Ahmad-ikvz
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Good task. Bad explanation. Drawing circles would be much more convenient than dealing with abstract numbers.

yurykomarinskiy