1998 AHSME Problems/Problem 29
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Contents
[hide]Problem
A point in the plane is called a lattice point if both and are integers. The area of the largest square that contains exactly three lattice points in its interior is closest to
Solution 1
Sadly, I don't actually have a solution. However, after doing some work on Geogebra, I have convinced myself that the answer is almost certainly A
Solution 2
Apply Pick's Theorem. 4 lattice points on the border edges, 3 points in the interior. , implying that ,
See also
1998 AHSME (Problems • Answer Key • Resources) | ||
Preceded by Problem 28 |
Followed by Problem 30 | |
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