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2010 Putnam
B2
B2
Part of
2010 Putnam
Problems
(1)
Putnam 2010 B2
Source:
12/6/2010
Given that
A
,
B
,
A,B,
A
,
B
,
and
C
C
C
are noncollinear points in the plane with integer coordinates such that the distances
A
B
,
A
C
,
AB,AC,
A
B
,
A
C
,
and
B
C
BC
BC
are integers, what is the smallest possible value of
A
B
?
AB?
A
B
?
Putnam
analytic geometry
inequalities
geometry
rectangle
conics
hyperbola