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TOT 009 1981 Spring J3 broken line bisects area of cyclic ABCD

Source:

August 17, 2019
geometryCyclicperpendiculardiagonalsareabisect area

Problem Statement

ABCDABCD is a convex quadrilateral inscribed in a circle with centre OO, and with mutually perpendicular diagonals. Prove that the broken line AOCAOC divides the quadrilateral into two parts of equal area.
(V Varvarkin)
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