9.4. In triangle $A B C$, the bisector $A M$ is perpendicular to the median $B K$. Find the ratios $B P: P K$ and $A P: P M$, where $P$ is the point of intersection of the bisector and the median.
Answer: $\quad B P: P K=1, A P: P M=3: 1$. See problem 8.4.

## 10th grade