Originally Posted by
GKEnialb
I see your point, but that's also what happens in the 2D calculations as well - going diagonally 500 feet is 707 feet mathematically but 750 feet with the 3.5/PFRPG movement rules. They did that for simplicity, not for accuracy (and 5E goes even further). I'd prefer to follow that spirit and a quick search on people asking that question in a tabletop setting seems to agree with the formula I have. That being said, I'm easy - if there's enough of a request for a different method, I'd entertain it (at the risk of annoying people who like it as it is).