MathDB

M2598

Part of Kvant 2020

Problems(1)

2 cross-sections of tetrahedron by 2 different cutting planes are 2 squares,

Source: Tournament of Towns, Senior A-Level Paper, Spring 2020 , p3

6/3/2020
Is it possible that two cross-sections of a tetrahedron by two different cutting planes are two squares, one with a side of length no greater than 11 and another with a side of length at least 100100?
Mikhail Evdokimov
3D geometryplanesgeometrysquare