Problem #PRU-58082

Problems Geometry Plane geometry Geometric inequalities Inequalities in a triangle A segment inside the triangle is smaller than the largest side ,Problems Triangles Types of triangles Right-angled triangles Pythagorean theorem and its converse
 12–14  4.0

Problem

A \(3\times 4\) rectangle contains 6 points. Prove that amongst them there will be two points, such that the distance between them is no greater than \(\sqrt5\).