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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, 8 months ago

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This is the diagram

Problem 5

Problem 5

Sualeh Asif · 1 year, 8 months ago

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