Question 79
Consider the acute $\triangle ABC$ and point $D$ on the side $AB$. Let's denote the center of the circumscribed circle around the $\triangle ACD$ as $P$ and the center of the circumscribed circle around the $\triangle BDC$ as $Q$. Prove that triangles $ABC$ and $DPQ$ are similar.
(Bogdan Rublyov)
(Bogdan Rublyov)