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TOT 135 1987 Spring Train J4 tiles of right triangle with perp. sides 1,2

Source:

April 17, 2020
Tilingcombinatoricscombinatorial geometry

Problem Statement

We are given tiles in the form of right angled triangles having perpendicular sides of length 11 cm and 22 cm. Is it possible to form a square from 2020 such tiles?
( S . Fomin , Leningrad)