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# Geometry Proof Problem of the day #5

easiest one yet.

Triangle $$ABC$$ has the largest angle at $$A$$, let $$\omega$$ be the circle that passes through $$A,B$$ and also tangent to $$AC$$. Denote $$D,E$$ the midpoint of major arcs $$ABC,ACB$$, and let $$\Omega$$ be the the circle that passes through $$A,E$$ and also tangent to $$AD$$. Suppose $$\omega \cap \Omega=A,F$$, prove that $$AF$$ bisects $$BAC$$.

Note by Xuming Liang
1 year, 9 months ago

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This is the diagram

Problem 5

· 1 year, 9 months ago