Propellorhead
Pythagoras never used to feature in my vectoring calculations; nor any other kind of maths. Just experience & "play it by ear".
There are so many variables to factor into any kind of mathematical calculation that you would not know which one to use & when !
Certainly, when we were really busy, you just didn't have time to make those sort of calculations. Every situation was different. All that was needed was experience & expertise.
The human brain is a wonderful thing (far better than computers). Using it in ATC doesn't require complicated assessments & calculations (unlike computers).