points with distance at least 10 meters
Source: Iran second round 2011
April 28, 2011
geometryanalytic geometrycombinatorics proposedcombinatorics
Problem Statement
We have a line and points around it such that the distance of each point to the line is less than centimeters and the distance between any two points is more than centimeters. prove that there are two points such that their distance is at least meters ( centimeters).