IMO Shortlist 1987 problem 13
Dodao/la:
arhiva2. travnja 2012. Is it possible to put
![1987](/media/m/f/0/1/f01eaa8f1dc64f6162dbb97917a86b7d.png)
points in the Euclidean plane such that the distance between each pair of points is irrational and each three points determine a non-degenerate triangle with rational area? (IMO Problem 5)
Proposed by Germany, DR
%V0
Is it possible to put $1987$ points in the Euclidean plane such that the distance between each pair of points is irrational and each three points determine a non-degenerate triangle with rational area? (IMO Problem 5)
Proposed by Germany, DR
Izvor: Međunarodna matematička olimpijada, shortlist 1987