The three vertices of a triangle are
lattice points.
The triangle contains no other lattice points but
its interior contains exactly one lattice point.
Prove that the interior lattice point is the triangle's
centroid.
(In reply to
re: One Solution (spoiler) by Dej Mar)
There are at least 2 more ways to draw a triangle as required:
Here are the four I found each given so that its centroid is the origin
(0,1) (1,0) (1,1)
(0,1) (1,1) (1,2)
(0,1) (1,2) (1,3)
(0,1) (1,3) (1,4)

Posted by Jer
on 20110411 11:40:09 