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Find M such that B'C' is minimum

Source:

September 5, 2010

trigonometrygeometry unsolvedgeometry

Problem Statement

Let

ABC

be a triangle. For every point

M

belonging to segment

BC

we denote by

B'

and

C'

the orthogonal projections of

M

on the straight lines

AC

and

BC

. Find points

M

for which the length of segment

B'C'

is a minimum.

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