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

12–14 4.0

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 $\sqrt{5}$ .