Put a convex quadrilateral on a Cartesian coordinate system.
Put a point inside.
Calculate the total distance to all four corners.
Ponder the outcome.
Find a poing inside a convex quadrilateral such that the sum of the distances from the point to the vertices in minimal.
How would I show that a distance that I find is indeed minimal? I'm kinda just confused as to how to even start this...
Thank you!