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2023 MOAA Gunga P21

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October 15, 2023
MOAA 2023

Problem Statement

In obtuse triangle ABCABC where ∠B>90∘\angle B > 90^\circ let HH and OO be its orthocenter and circumcenter respectively. Let DD be the foot of the altitude from AA to HCHC and EE be the foot of the altitude from BB to ACAC such that O,E,DO,E,D lie on a line. If OC=8OC=8 and OE=4OE=4, find the area of triangle HABHAB.
Proposed by Harry Kim
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