Question 37
Let $M$ be the midpoint of the altitude $[VO]$ of the regular pyramid $VABCD$ and $N$ be the midpoint of the segment $[BM]$. Let $P \in (AO)$ be such that $AP = 3 \cdot PO$. Prove that if we denote $d(a, b)$ the distance between the straight lines $a, b$, then
$$
\frac{d(PN, VD)}{d(PN, AB)} = \frac{5}{3}.
$$
Devian Augustin
$$
\frac{d(PN, VD)}{d(PN, AB)} = \frac{5}{3}.
$$
Devian Augustin