Q: Is it possible to draw a triangle with exactly one obtuse angle?

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Yes. Every triangle with an obtuse angle must have two acute angles.

because if it is obtuse, there is no right angle. each corner has to be over 90 degrees (a right angle) to be an obtuse triangle.

no; a triangle must have an obtuse angle if one of its altitudes is outside of the triangle, and in this case 2 of the altitudes are out of the triangle.

Yes.

An obtuse triangle has one angle greater than 90 degrees and a right triangle has one angle exactly 90 degrees.

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No, it isn't possible for a right triangle to have an obtuse angle.

Yes. Every triangle with an obtuse angle must have two acute angles.

because if it is obtuse, there is no right angle. each corner has to be over 90 degrees (a right angle) to be an obtuse triangle.

An obtuse triangle has an obtuse angle.

no; a triangle must have an obtuse angle if one of its altitudes is outside of the triangle, and in this case 2 of the altitudes are out of the triangle.

Yes, but only one angle will be obtuse.

Yes.

An obtuse triangle has one angle greater than 90 degrees and a right triangle has one angle exactly 90 degrees.

A triangle with 1 obtuse angle is called an obtuse triangle.

-- No right triangle, acute triangle, or equilateral triangle has an obtuse angle in it. -- If a triangle has an obtuse angle in it, then it's called an obtuse triangle. -- No triangle can have more than one obtuse angle in it .

A triangle containing an obtuse angle is an obtuse triangle.

No