MathDB

1

Part of 1997 Junior Balkan MO

Problems(1)

9 points inside a square

Source: 1st JBMO 1997, Problem 1

6/10/2004
Show that given any 9 points inside a square of side 1 we can always find 3 which form a triangle with area less than 18\frac 18. Bulgaria
geometrypigeonhole principleinequalitiessymmetryarea of a trianglecombinatorics solved