MathDB

4

Part of 2001 Junior Balkan MO

Problems(1)

1415 vertices

Source: 5th JBMO JBkMO 2001, problem 4

6/11/2004
Let NN be a convex polygon with 1415 vertices and perimeter 2001. Prove that we can find 3 vertices of NN which form a triangle of area smaller than 1.
geometryperimetertrigonometrycombinatorics solvedcombinatorics