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In the convex quadrilateral ABCD the diagonals AC and BD intersect at O and are perpendicular to each other. Prove that the projections of O on the sides of the quadrilateral are the vertices of a cyclic quadrilateral.

Answer» In the convex quadrilateral ABCD the diagonals AC and BD intersect at O and are perpendicular to each other. Prove that the projections of O on the sides of the quadrilateral are the vertices of a cyclic quadrilateral.


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