MathDB
Unusual locus geometry

Source: Kvant Magazine No. 2 2024 M2784

May 2, 2024
geometryLocus

Problem Statement

The bisectors ADAD{} and BEBE{} were drawn in the triangle ABCABC{} and they intersected at point I.I{}. Then everything was erased, leaving only the points DD{} and E.E{}. Find the set of possible positions of the point I.I{}.
Proposed by M. Didin