RE: Proof by Rearrangement of the Pythagorean Theorem
November 22, 2018 at 11:30 am
(This post was last modified: November 22, 2018 at 11:34 am by FlatAssembler.)
Quote: What other angles could they be? The hypotenuses are all the same length, we don’t need to prove that as it’s part of the design of the initial setup. The triangles are all the same, that’s likewise by design. They are all transformed on the plane in the same way.The only possible shape they can make is a square when all that is taken into account.But the sides being the same length doesn't mean the angles are the same. That's true only for triangles, not for the polygons with four (or more) angles.
As for the other replies, this is not a trolling question, so please don't answer as if it were.
Edit: Sorry, Polymath, I haven't seen your response, which actually makes some sense.