You could theoretically make a triangle with three obtuse angles like this, but it's inside would also be it's outside, and it would be impossible to place on a flat surface. Does that still count as a triangle?
That is possible. The fact that angles add up to 180 degrees is only in Euclidian geometry. If you wrap obtuse angles around the Earth, that falls into the realm of spherical geometry with completely different postulates and stuff.
well, imagine you have a sphere, and put a straight line on one edge, then have two lines going in opposite horizontal directions but the same vertical direction
Eventually they will meet up on the other side of the sphere and make a "triangle"
no, It would curve around the planet. The equation for the line created by the paper could not be expressed in slope-intercept notation, therefore it is not straight.
Both of you are correct @FlamingPinecone and @XavierEXE . You are simply talking about different types of geometry. @XavierEXE is talking about spherical geometry and he's right about everything he's said. @FlamingPinecone is talking about Euclidian Geometry and under that, he's right about everything he's said.
Yeah, you actually don't learn that in middle/high school (at least in public system). I only know a bit about spherical geometry because my 8th grade geometry teacher was really intense and used some AOPS book (witchcraft!)
That class was a pain.
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