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Bundeswettbewerb Mathematik 1979 Problem 2.2

Source: Bundeswettbewer Mathematik 1979 Round 2

September 23, 2022
Locusgeometrycircleincenter

Problem Statement

A circle kk with center MM and radius rr is given. Find the locus of the incenters of all obtuse-angled triangles inscribed in kk.