MathDB
ASU 324 All Soviet Union MO 1981 6 points inside 3x4 rectangle

Source:

July 23, 2019
distancecombinatorial geometrygeometryrectangle

Problem Statement

Six points are marked inside the 3×43\times 4 rectangle. Prove that there is a pair of marked points with the distance between them not greater than 5\sqrt5.