Geometry

True or False? In an obtuse triangle all the angles are obtuse. I think it's false but I'm not sure.

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asked by Andrea
  1. By definition of "obtuse", one of the angles must be greater than 90
    So if all 3 angles would be obtuse, their sum would be greater than 270°
    But we know that the total sum of all 3 angles = 180°
    So, silly conclusion.

    As a matter of fact , a triangle can have only one obtuse angle, if it had 2 we would already have a sum of more than 180°

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    posted by Reiny
  2. Thank you!

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    posted by Andrea

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