BdMO National Junior 2009/8

[samiul_samin]

There are three points in plane.One can draw as many parallelograms as possible keeping those three points as the three vertices of the parallelogram.Find the difference between the area of parallelogram having the maximum perimeter possible and the parallelogram having the minmum perimeter possible.

[samiul_samin]

All parameters will have same perimeter because three vertices of them must be same.
Answer:$\fbox 0$