I'm not sure I can even begin to explain how I did it here in words, but the experts will just sniffly dismiss it, just because Pythagoras said so....
Yeah, I remember Pythagoras. Always had an angle. Spoke with a funny accent too, considering it was ancient Greek. Somehow he managed to sound like someone from Brooklyn, and no Western Civ types lived there yet.
Anyway, Pythagoras was quite the opinionated fellow. With that guy, it was always thee or 'im.
But don't blame him for the angle problem. Euclid was the one who made up the rules.