The isosceles triangle $\triangle ABC$, with $AB=AC$, is inscribed in the circle $\omega$. Let $P$ be a variable point on the arc $\stackrel{\frown}{BC}$ that does not contain $A$, and let $I_B$ and $I_C$ denote the incenters of triangles $\triangle ABP$ and $\triangle ACP$, respectively.
Prove that as $P$ varies, the circumcircle of triangle $\triangle PI_BI_C$ passes through a fixed point.
WARNING: DON'T USE GEOGEBRA
When everyone is busy solving USA(J)MO 2017,I am solving2016
- Thamim Zahin
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- Atonu Roy Chowdhury
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Re: When everyone is busy solving USA(J)MO 2017,I am solving
Solution with angle chasing only. But seems ugly to me.
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