Question 92
Let $M$ be an interior point of the $A B$ segment. Squares $A M C D$ and $B E H M$ are built on the same side of $A B$. If $N$ is the second point of intersection of the circumferences circumscribed to said squares, prove that: 1. The points $B, N$ and $C$ are aligned. 2. The point $H$ is the orthocenter of the triangle $A B C$.