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AP=AB wanted, circumcenter, bisector (2011 From Tasks to Tasks, p3 Ukr)

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May 2, 2021
geometryequal segmentsCircumcenter

Problem Statement

Let OO be the center of the circumcircle, and ADAD be the angle bisector of the acute triangle ABCABC. The perpendicular drawn from point DD on the line AOAO ​​intersects the line ACAC at the point PP. Prove that AP=ABAP = AB.
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