, 2014

Geometry Difficulty 4.4 AIME Prove it United States

Problem:

2014 triangles have non-overlapping interiors contained in a circle of radius $1$ . What is the largest possible value of the sum of their areas?

Solution

Answer: N/A This problem turned out to be much trickier than we expected. We have yet to see a complete solution, but let us know if you find one!

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