Many know about visual thinking or “visual literacy” but consider it unreliable and ‘fuzzy’. It’s not.
Take Pyhtagoras Theorem (arguably the most useful) – given a right-angled triangle the square of the hypotenuse (the side opposite the right angle), c, is equal to the sum of the squares of the other two sides, b and a—that is, a² + b²= c². Using it in everyday is one thing but try to prove it.
You actually need to know a few more theorems if you try the Eucliden way, and a lot of math if you go algebra.
So, how about this for a proof by visual arrangement and emergence: