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Omni-MATH / Inside the triangle ABC a point M is given . Find the points P,Q and R lying on the sides AB,BC and AC respectively and such so that the sum MP+PQ+QR+RM is the smallest.

Problem

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problem

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.
Plain-text mathematical notation (without MathML)
Inside the triangle ABC a point M is given . Find the points  P,Q and R lying on the sides AB,BC and  AC respectively and such so that the sum  MP+PQ+QR+RM is the smallest.
Original LaTeX notation
Inside the triangle $ABC$ a point $M$ is given . Find the points  $P,Q$ and $R$ lying on the sides $AB,BC$ and  $AC$ respectively and such so that the sum  $MP+PQ+QR+RM$ is the smallest.

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Source and history

task_id
af06838a-6d50-50a6-a80e-40132261074b
task_key
test--af06838a-6d50-50a6-a80e-40132261074b
task_revision_id
1
config / split
/ test

Official source

initial import