Cutting triangles
Source: 44th International Tournament of Towns, Senior O-Level P4, Fall 2022 & Kvant Magazine No. 11-12 2022 M2722
February 16, 2023
geometryTournament of Towns
Problem Statement
Consider an acute non-isosceles triangle. In a single step it is allowed to cut any one of the available triangles into two triangles along its median. Is it possible that after a finite number of cuttings all triangles will be isosceles?Proposed by E. Bakaev