Question 99
Consider the pyramid $V A B C$, in which $A B=7~\mathrm{cm}$, $A C=5~\mathrm{cm}$, $B C=8~\mathrm{cm}$, $V B=6~\mathrm{cm}$, and the dihedral angles at the base $A B C$ are congruent. Determine the distance from the point $P$ to the edge $V A$, where $A P$ is the angle bisector in triangle $A B C$.