# 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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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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