@[email protected] to [email protected]English • 7 months agoI bet the rest of the world has better papersh.itjust.worksimagemessage-square51fedilinkarrow-up1836arrow-down135
arrow-up1801arrow-down1imageI bet the rest of the world has better papersh.itjust.works@[email protected] to [email protected]English • 7 months agomessage-square51fedilink
minus-square@UndercoverUlrikHDlink8•edit-27 months agoHere 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) a2*=2*b2 a2*/*b2=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)
a2*=2*b2
a2*/*b2=2
a/b=sqrt(2)