finite number of scissor cuts on paper, separate A and B (Chile NMO 2001 P5)
Source:
December 4, 2021
geometrycombinatorics
Problem Statement
On a right triangle of paper, two points and have been painted. You have scissors and you have the right to make cuts (on paper) as follows: cut through a height of the given triangle. In doing so, remove, without the respective altitude, one of the two triangles and continue the process. Prove that after a finite number of cuts you can separate points and leaving one of them outside the remaining triangles.