UndercoverUlrikHD, 1 year ago (edited 1 year ago) Here you go, proof at ~2 min in. Edit: for those who don’t want to use YouTube anymore. If a is the long side and b is the short side of a rectangle. Halving the rectangle will make the long side b and the short side 1/2 a. If the ratio is preserved when halving, we get: a/b=b/(1/2 a) a^2=2b^2 a^2/b^2=2 a/b=sqrt(2)
Here you go, proof at ~2 min in.
Edit: for those who don’t want to use YouTube anymore. If a is the long side and b is the short side of a rectangle. Halving the rectangle will make the long side b and the short side 1/2 a. If the ratio is preserved when halving, we get:
a/b=b/(1/2 a)
a^2=2b^2
a^2/b^2=2
a/b=sqrt(2)