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can tetrahedron scan turn out to be a triangle with sides 3,4,5 ?

Source: Sharygin 2006 finals 10.5

September 29, 2019
geometrytetrahedron3D geometryright triangle

Problem Statement

Can a tetrahedron scan turn out to be a triangle with sides 3,43, 4 and 55 (a tetrahedron can be cut only along the edges)?