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Putnam
1971 Putnam
A3
A3
Part of
1971 Putnam
Problems
(1)
Putnam 1971 A3
Source:
4/6/2022
The three vertices of a triangle of sides
a
,
b
,
a,b,
a
,
b
,
and
c
c
c
are lattice points and lie on a circle of radius
R
R
R
. Show that
a
b
c
≥
2
R
.
abc \geq 2R.
ab
c
≥
2
R
.
(Lattice points are points in Euclidean plane with integral coordinates.)
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