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A triangle can not have more than one right angle.

I'm stuck there =/

hmm... can you prove by contradiction?

Well I don't know how to prove by contradiction yet. I'm a newbie on the proving world =P

anyway, that's cool that you develop geometry from scratch.

do you have the parallel postulate then?

mmm I don't think so what is that postulate?

ok, so can we accept that a triangle must have 3 angles that add to 180 ?

proof 2:
let us call the triangle formed by the three line segments OPZ
we know that

That's impressive @TurinTest!