concurrent perpendiculars in every tetrahedron
Source: Spanish Mathematical Olympiad 1968 P6
December 4, 2022
geometry3D geometrytetrahedronconcurrencyconcurrent
Problem Statement
Check and justify , if in every tetrahedron are concurrent:
a) The perpendiculars to the faces at their circumcenters.
b) The perpendiculars to the faces at their orthocenters.
c) The perpendiculars to the faces at their incenters.
If so, characterize with some simple geometric property the point in that attend If not, show an example that clearly shows the not concurrency.