HMMT 2008 T12

Let $K$ be as in the previous problem. Let $M$ be the midpoint of $B C$ and $N$ the midpoint of $A C$ . Show that $K$ lies on line $M N$ .

Dataset text NuminaMath olympiads. Quoted with source.

Solutions

No solution is on olymmath yet. Official and human solutions come first when they arrive. AI solutions come after them, with a label.