MathDB

2006.11.3

Part of Kyiv City MO Seniors 2003+ geometry

Problems(1)

<BAC =?, if WO = WH, arc midpoint of circumcircle (Kyiv City Olympiad 2006 11.3)

Source:

6/28/2020
Let OO be the center of the circle ω\omega circumscribed around the acute-angled triangle △ABC\vartriangle ABC, and WW be the midpoint of the arc BCBC of the circle ω\omega, which does not contain the point AA, and HH be the point of intersection of the heights of the triangle △ABC\vartriangle ABC. Find the angle ∠BAC\angle BAC, if WO=WHWO = WH.
(O. Clurman)
geometrymidpointcircumcircleequal segments