Triangle with a Hole

Not sure exactly what to make of this,

Can anyone give me an explanation?

The second one isn’t a triangle.

How does this triangle puzzle work?

triangle puzzle

Hey, what’s going on with this triangle (geometry question)? (I can’t believe ultrafilter fell for it. Hehehehe.)

That’s an oldie, SuperNova. I just can’t remember how it works, though. Someboby will.
Peace,
mangeorge

Thanks

You’re right, of course, but the first one isn’t a triangle either.

As a side question, what is it called? A polygon? (don’t those have to have straight sides?)

That quasi-triangle does have straight sides. It has four sides, and the angle between the two that appear to form the hypotenuse is just under 180°. Technically, the figure in question is a quadrilateral.

That hypotenuse looks like a curve to me, not a straight line or even two lines meeting at an obtuse angle.

I’m fairly certain that the apperance of being curved is an optical illusion caused by the shallow angle at which the two small triagles meet. Of course, I don’t have a flat monitor, so maybe I’ve been conditioned to view shallow curves as straight lines.

Yeah, they got me. Happens every once in a while.

Depending on the definition you use, that figure may be a polygon (although non-convex). A friend of mine who did some research with computer vision did use the more general definition.

OK - so assuming it is a curve, what is the name for that triangle-like figure? It’s possible there’s no name for it (we don’t name every single possible figure) - perhaps mathematicians are content to lump it in with “figures that are topologically equivalent to a circle.”

Semi-circle?