cuting 4 equal right triangles
Source: TOT 449 1995 Spring A J5 - Tournament of Towns
July 9, 2024
geometrycombinatoricscombinatorial geometry
Problem Statement
Four equal right-angled triangles are given. We are allowed to cut any triangle into two new ones along the altitude dropped on to the hypotenuse. This operation may be repeated with any of the triangles from the new set. Prove that after any number of such operations there will be congruent triangles among those obtained.(AV Shapovalov)