Question 10
Let $ABCDE$ be a regular pentagon. A point $P \neq M$ is chosen on the segment between the centre $M$ of the pentagon and the vertex $D$. The circumcircle of $ABP$ intersects the side $AE$ at the points $A$ and $Q$, and the perpendicular to $CD$ through $P$ at the points $P$ and $R$.
Show that $AR$ and $QR$ have the same length.
(Stephan Wagner)
Show that $AR$ and $QR$ have the same length.
(Stephan Wagner)