Advanced Geometric Problem & Solution (Twice a week update) Now 4751 problems posted.
<Tri-2026-2303>, hint
[ABC]; area of triangle ABC
[AMN]+[BNL]+[CLM]+[LMN]=[ABC]
sin60{ AMxAN+BLxBN+CLxCM}+[LMN]=sin60 BC xAB
AMxAN+BLxBN+CLxCM<BCxAB=BCxBC
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