Advanced Geometric Problem & Solution (Twice a week update) Now 4502 problems posted.
<Tri-2024-2149>, hint
Take F on AB such BD=AF, then triangles ACF and BCD are congruent.
Hence <DCF=60, CD=CF,So triangle DCF is equilateral. Let M be the midpoint of BC
FMㅗBC, CM=BM. Finally E=F .
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