Prove that the perpendicular bisectors of the sides of a cyclic quadrilateral are
concurrent.
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Here ABCD is the cyclic quidrilateral and OH, OG, OF and OE are perendicular bisectors of AB, BC, CD, AD.
We know that in a perpendicular bisector of a line segment is passing through the centre.
= OH, OG, OF and OE passess through centre.
= OH, OG, OF and OE are concurrent.
Hence the perpendicular bisector of the sides of the cyclic quidrilateral are concurrent.
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