|
|
|
Let the centroid, symmedian point of $\triangle$ABC be G,K. The midpoint of GK is L. The pedal triangle of G wrt $\triangle$ABC is $\triangle G_aG_bG_c$. The centroid of $\triangle G_aG_bG_c$ is G'. Reflect G about G' to get S. The midpoint of $G_bG_c$ is M. Reflect G' about ML to get N. Show that $\triangle SNL\sim\triangle JGG_a$. |
|
