Question 8
Let $ABC$ be a scalene triangle. The tangents to the nine-point circle at the foot of the perpendicular dropped from $A$ on the line $BC$ and at the midpoint of the side $BC$ meet at the point $A'$; the points $B'$ and $C'$ are defined similarly. Prove that the lines $AA'$, $BB'$ and $CC'$ are concurrent.
Gazeta Matematică
Gazeta Matematică