Question

What's wrong with my (obviously false) proof that the pythagorean theorem is incorrect:

Answer 1

After many iterations, the tiny squares will be so tiny it looks more like a straight line.
After infinite many iterations, it'll become a straight line.


But since it's made out of tiny lines going right and down,
the length of B = top line + right line
so B = A + A

Answer 2

In other words:
Iteration 1: A
Iteration 2: A/2 + A/2
Iteration 3: A/4 + A/4 + A/4 + A/4
Iteration 4: A/8 + A/8 + A/8 + A/8 + A/8 + A/8 + A/8 + A/8
...
Iteration n: (A/n) * n = A
Iteration infinity: idk

Answer 3

Similar false proof:
https://i.stack.imgur.com/znQDV.png