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080

Part of 1966 All Russian Mathematical Olympiad

Problems(1)

ASU 080 All Russian MO 1966 tetrahedrons with given smallest height

Source:

6/19/2019
Given a triangle ABCABC. Consider all the tetrahedrons PABCPABC with PHPH -- the smallest of all tetrahedron's heights. Describe the set of all possible points HH.
geometry3D geometrytetrahedron