1987 AHSME Problems/Problem 25
Problem
is a triangle: and both the coordinates of are integers. What is the minimum area can have?
Solution
Let have coordinates . Then by the Shoelace Formula, the area of is . Since and are integers, is a positive integer, and by Bezout's Lemma, it can equal (e.g. with ), so the minimum area is , which is answer .
See also
1987 AHSME (Problems • Answer Key • Resources) | ||
Preceded by Problem 24 |
Followed by Problem 26 | |
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