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Sharygin 2022 - P1

Source: Sharygin 2022 - P1 (Grade-8)

March 4, 2022
geometry

Problem Statement

Let OO and HH be the circumcenter and the orthocenter respectively of triangle ABCABC. Itis known that BHBH is the bisector of angle ABOABO. The line passing through OO and parallel to ABAB meets ACAC at KK. Prove that AH=AKAH = AK
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