



 
Yueh, The first step is to GUESS where O has to be for the triangles BOL and AON to have the same area. I would guess that O must lie on the line joining C to the midpoint of AB. (Try to prove whether my guess is correct by extending the line ON to the point N' where it meets BC. Then LBN'O is a parallelogram. What can you say about the areas of triangles BOL and BON'? What about BON' and AON?) Chris  


Math Central is supported by the University of Regina and The Pacific Institute for the Mathematical Sciences. 