Last Sunday I met with Professor Knowfair at the public library. We caught up and he told me about the most recent assignment he gave his students. He said:
We had been studying medians and how they divide a triangle into two equal-area triangles. For that week's assignment, I decided to go a bit further. I asked the $n$-th student to devise a method of dissecting a triangle into $n$ equal-area triangles, using at most $n-1$ line segments.
Was the professor fair? How many students will be able to complete their tasks?