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AB + PQ + QR + RP <= AP + AQ + AR + BP + BQ + BR

Source: 1981 Hungary - Kürschák Competition p1

October 10, 2022
geometryGeometric Inequalities

Problem Statement

Prove that AB+PQ+QR+RP≤AP+AQ+AR+BP+BQ+BRAB + PQ + QR + RP \le AP + AQ + AR + BP + BQ + BR where A,B,P,QA, B, P, Q and RR are any five points in a plane.
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