I'm looking to find the max perpendicular distance of the 2 faces of a 2D convex hull perpendicular to a symmetry line (y=x). There are 3 possible scenarios
(1) convhull intersects with symline and max perpendicular distance occurs within the symline intersection
(2) convhull intersects with symline but max perpendicular distance to symline does not occur within the symline intersection
(3) convhull does not intersect with symline.
Would like to know how to do so in each of those cases.