Question

Call O is the point in the quadrilateral ABCD. Locate the O to OA + OB + OC + OD minimum.

Answer 1

Call O is the point in the quadrilateral ABCD. Locate the O to OA + OB + OC + OD minimum.

Answer 2

there is no constraint, it cant be done

Answer 3

Maybe we can look at it this way.

Imagine the usual diagonals and the point where they cross.

Now put in a point somewhere else.

You can see by the triangle rule that your sum is greater than you had for the usual diagonals.

So I would have said that O is where the diagonals cross.

(This is just off the cuff, not intended to be rigorous).