MathDB

3

Part of 2008 Greece National Olympiad

Problems(1)

Compute the area of the concave quadrilateral ABHC

Source: Greek National Mathematical Olympiad 2008 - P3

11/17/2011
A triangle ABCABC with orthocenter HH is inscribed in a circle with center KK and radius 11, where the angles at BB and CC are non-obtuse. If the lines HKHK and BCBC meet at point SS such that SK(SKāˆ’SH)=1SK(SK -SH) = 1, compute the area of the concave quadrilateral ABHCABHC.
geometrytrigonometrygeometry unsolved