Knowing two points of a rectangle, how can I figure out the other two?

Question

Hey there guys, I\'m learning processing.js, and I\'ve come across a mathematical problem, which I can\'t seem to solve with my limited geometry and trigonometry knowledge o

Answer 1

It's definitely a rectangle? Then you know the orientation of the short sides (they're parallel to the line between your points), and hence the orientation of the long sides.

You know the orientation and length of the long sides, and you know their midpoints, so it's straightforward to find the corners from there.

Implementation is left as an exercise to the reader.