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National and Regional Contests
Moldova Contests
Moldova National Olympiad
2009 Moldova National Olympiad
7.3
7.3
Part of
2009 Moldova National Olympiad
Problems
(1)
2009 points on line AB not in [AB], diff. sums (2009 Moldova NMO 7.3)
Source:
3/25/2021
On the lines
A
B
AB
A
B
are located
2009
2009
2009
different points that do not belong to the segment
[
A
B
]
[AB]
[
A
B
]
. Prove that the sum of the distances from point
A
A
A
to these points is not equal to the sum of the distances from point
B
B
B
to these points.
geometry
points