Love Traingle

posted Feb 1, 2011, 1:44 PM by Abhishek Ojha   [ updated Nov 10, 2011, 8:34 PM ]

I was reading something last night and this unusual thought came to my mind. It goes like this:
Assuming only 'straight' lines form a triangle. By basic theorem of inequality of sides a love triangle is not possible ! :)

As per theorem combined love between any two pairs should be greater than the third pair but given three straight members... it leads to a  Contradiction !

The general form will be like this: To form a convex love polygon the members with interconnected relationships should be even.
Note that this holds only in case of convex polygons  which are formed only using straight lines  ;)