In the Cartesian plane R2, each triangle contains a Mediterranean point on its sides or in its interior, even if the triangle is degenerated into a segment or a point. The Mediterranean points have the following properties:
(i) If a triangle is symmetric with respect to a line which passes through the origin (0,0), then the Mediterranean point lies on this line.
(ii) If the triangle DEF contains the triangle ABC and if the triangle ABC contains the Mediterranean points M of DEF, then M is the Mediterranean point of the triangle ABC.Find all possible positions for the Mediterranean point of the triangle with vertices (−3,5), (12,5), (3,11). geometryalgebraMediterraneanTrianglefunctional equation