Question 39
Let $ABC$ be an acute triangle, with $AC \neq BC$. Let $M$ be the midpoint of segment $AB$. Let $H$ be the orthocenter of triangle $ABC$, $D$ the footpoint of the altitude through $A$ on $BC$ and $E$ the footpoint of the altitude through $B$ on $AC$.
Prove that lines $AB$, $DE$ and the orthogonal to $MH$ through $C$ intersect in a point $S$.
(Karl Czakler)
Prove that lines $AB$, $DE$ and the orthogonal to $MH$ through $C$ intersect in a point $S$.
(Karl Czakler)