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min MP+PQ+QR+RM where M inside ABC, P,Q,R in AB,BC,CA resp

Source: Tuymaada 1995 p8

April 27, 2019
geometrygeometric inequalityminimumSumdistance

Problem Statement

Inside the triangle ABCABC a point MM is given . Find the points P,QP,Q and RR lying on the sides AB,BCAB,BC and ACAC respectively and such so that the sum MP+PQ+QR+RMMP+PQ+QR+RM is the smallest.
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