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IMO Longlists
1984 IMO Longlists
8
8
Part of
1984 IMO Longlists
Problems
(1)
Line with sum of distances from vertices of triangle minimum
Source:
10/12/2010
In the plane of a given triangle
A
1
A
2
A
3
A_1A_2A_3
A
1
A
2
A
3
determine (with proof) a straight line
l
l
l
such that the sum of the distances from
A
1
,
A
2
A_1, A_2
A
1
,
A
2
, and
A
3
A_3
A
3
to
l
l
l
is the least possible.
trigonometry
geometry unsolved
geometry