10.5

Part of 2006 Sharygin Geometry Olympiad

Problems(1)

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

Source: Sharygin 2006 finals 10.5

Can a tetrahedron scan turn out to be a triangle with sides

3, 4

5

(a tetrahedron can be cut only along the edges)?

geometrytetrahedron3D geometryright triangle