MathDB

17

Part of 2012 Sharygin Geometry Olympiad

Problems(1)

Square in a circle

Source: Sharygin Geometry Olympiad 2012 - Problem 17

4/28/2012
A square ABCDABCD is inscribed into a circle. Point MM lies on arc BCBC, AMAM meets BDBD in point PP, DMDM meets ACAC in point QQ. Prove that the area of quadrilateral APQDAPQD is equal to the half of the area of the square.
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