cevian 3 parts

Arthur Lee
This figure shifts the focus to one of the cevians, BY, and how it is cut into 3 parts. Can you figure out any pattern when n varies? More details about the ratios in terms of n can be shown.
In the next chapter of this GeoGebra Book, we further investigate the ratios in these cevians, which could then be used to find out the areas of the inner triangles.