Advanced Geometric Problem & Solution (Twice a week update) Now 4632 problems posted.
<Tri-2024-2085>, hint
Incircle touches AC in F and line AI cuts DE in p.
By angle chasing <APD=C/2 . Then I, P, E, C are concyclic and ,I,P,E,C,F are concyclic too.
Hence 90=<IEC=<IPC=<APC. AC is diameter.
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