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Because the 3 interior angles of a triangle add up to 180 degrees no more and no less but a right angle plus an obtuse angle would be over 180 degrees.

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Q: Why construction of a triangle with right angle and another obtuse angle is not possible?
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Related questions

Is it possible to make an obtuse equilateral triangle?

No. It is not possible to make a equilateral triangle that is obtuse.


Is it possible to have a obtuse scalene?

Yes it is possible to have a obtuse scalene triangle.


Is it true an obtuse triangle is never right?

Yes, its not possible to have a "right obtuse triangle"


Can an obtuse triangle be adjacent to another obtuse angle?

no


Is it possible to have an obtuse triangle that is not scalene?

no


Is a obtuse a scalene in a triangle?

The definition of an obtuse triangle is a triangle with an angle exceeding 90o. A scalene triangle is a triangle in which no two sides are of equal length. Therefore, it is possible that an obtuse triangle is a scalene triangle. However, it is also possible for an obtuse triangle to be an isosceles, in which two sides are of equal length. On a final note, it is impossible for an obtuse triangle to be an equilateral; equilateral triangles always have angles of 60o.


Is it possible for one triangle to be both an obtuse triangle and a scalene triangle?

yes


What do you call a triangle with two obtuse sides?

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".


Is it possible to have an obtuse isosceles triangle?

yes


Is it possible to draw a right triangle that is obtuse?

No


Is it possible to draw a obtuse equilateral triangle?

no


Is it possible to have a triangle that is not obtuse acute or right?

No, those three examples cover all possible cases. If it is a triangle, then it is either acute, right, or obtuse.