Question 33
Through the center of gravity $G$ of a triangle $ABC$, a line is drawn that cuts the side $AB$ in $P$ and the side $AC$ in $Q$. show that
$$
\frac{PB}{PA} \cdot \frac{QC}{QA} \leq \frac{1}{4}
$$
$$
\frac{PB}{PA} \cdot \frac{QC}{QA} \leq \frac{1}{4}
$$