Maths Olympiad Prep

Library / /7 of 28

Geometry Difficulty 5.0 AIME, harder Prove it Ukraine

Does there exist a quadruple with non parallel sides, that can be partitioned into 2011 isosceles triangles?

Solution

Answer: See fig. 13.

Want a route through all this instead of an archive? The track puts 2,000 problems in a working order, from AMC 10 level to the IMO shortlist.

Source: MathNet, licensed CC-BY-4.0. Statement reproduced verbatim; metadata (topic, difficulty) added by this project.