MathDB

4 points having only distances 1,2,3,4,5 (2019 Novosibirsk Oral Geo Oly 7.1)

Source:

April 26, 2021

geometrydistance

Problem Statement

Lyuba, Tanya, Lena and Ira ran across a flat field. At some point it turned out that among the pairwise distances between them there are distances of

1, 2, 3, 4

and

5

meters, and there are no other distances. Give an example of how this could be.