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orthic triangles of same perimeter criterion on acute triangles

Source: 1988 German Federal - Bundeswettbewerb Mathematik - BWM - Round 2 p3

November 20, 2022
geometryperimeterorthic triangle

Problem Statement

Prove that all acute-angled triangles with the equal altitudes hch_c and the equal angles γ\gamma have orthic triangles with same perimeters.