Yes, but to be more specific, it is a spherical triangle.

This is an example of non-Euclidean geometry. In this non-Euclidean space, it is a triangle.

It's got three angles, so I'd say so

The wonders of non-Euclidian geometry. Yes, this is a triangle, but as it exists in a non-Euclidian space, some rules you learned about in school which mostly teach Euclidian geometry, don't apply.

It is a triangle. The abstraction of lines in non-Euclidean geometry are geodesics and just like three lines form a triangle, so do the geodesics. If you walked along the earth's surface from the equator to the North Pole and back, taking 90 degrees angles every time, you will have felt that you made a triangle by walking straight in three directions.

The reason the angle sum can be more than 180 degrees is that the sphere has a positive curvature. If you want one with negative curvature and less than 180 degrees angle sum, try to make one on the side of the hole on a torus (look up its curvature if my explanation was lacking).

EDIT: Picture for reference:

Yes, it has three corners and three edges. It is a triangle.

Would the southern shape here also qualify as a triangle?

What if you went the short way instead of the long way, creating the spherical triangle people usually use - then is the "outside" portion of the triangle itself another triangle?

There’s an entire field of science projecting shapes from the surface of a sphere onto a planar surface going back centuries.

Suffice it to say, I don’t know you’d have to talk to a map-nerd.

Just noticed in euclidean geometry, for any two line segments touching at a point there is exactly one triangle you can draw, i.e. a triangle is uniquely described by any two of its legs. In spherical geometry, there are two choices for the third leg!

Two things I need to ask:

• What inspired this question, exactly, and
• Can I have some, please?

Yes

Yes and I hate it >:(

Spherical geometry - good times...

Yep, it's a triangle. You can also make one with three right angles on a sphere!

Doritos are triangles so sure

The term you are looking for to describe such a shape is technically "spherical polygon". Triangles are impossible in speherical geometry since the sum of the angles would always be greater than 180°.

Congratulations you just invented magenta

Its a pyramid