Question

A square is divided into several convex polygons (more than `1`), each of which has a different number of sides. Prove that among these polygons there is a triangle.

Difficulty level (1 very easy - 10 very hard): 5

Topics:
Combinatorics -> Pigeonhole Principle Combinatorics -> Combinatorial Geometry Combinatorics -> Graph Theory Geometry -> Plane Geometry -> Triangles Proof and Example -> Proof by Contradiction Geometry -> Solid Geometry / Geometry in Space -> Polyhedra Minimum and Maximum Problems / Optimization Problems
shai Avatar
shai - 6 years ago
诇讗 讻诇 讻讱 讛讘谞转讬 诇诪讛 诪转拽讘诇转 住转讬专讛, 砖讛专讬 谞讬转谉 砖诪住驻专讬 讛爪诇注讜转 讬讛讬讜 4,5,6 注讚 n + 3

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