Intersecting diagonals in an n-gon
Source: All Russian-2014 Grade 9 Day 1 P3
May 17, 2014
inductiongeometrycombinatorics proposedcombinatorics
Problem Statement
In a convex -gon, several diagonals are drawn. Among these diagonals, a diagonal is called good if it intersects exactly one other diagonal drawn (in the interior of the -gon). Find the maximum number of good diagonals.