Yes but the other 2 equal angles must be acute because the 3 interior angles of any triangle add up to 180 degrees
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No. It is not possible to make a equilateral triangle that is obtuse.
Yes, its not possible to have a "right obtuse triangle"
no
In normal geometry, it's not possible to make a triangle with two obtuse angles. It is possible to make a triangle with two obtuse angles in spherical geometry -- it's a kind of "spherical triangle". It is possible to make a triangle with two obtuse angles in some kinds of non-Euclidean geometry -- it's a kind of "non-Euclidean triangle".
no