Question 99
Consider an isosceles triangle $ABC$, where $AC$ is a base, $P$ is an arbitrary point on $AC$, $T$ is a projection of $P$ onto $BC$. Determine in the ratio in which a symmedian drawn from a vertex $C$ of a triangle $\triangle PBC$ divides $AT$? Symmedian $CS$, $S \in BP$ of a $\triangle PBC$ is a reflection of median $CF$ over the angle bisector $CL$.
