ABCD is a quadrilateral inscribed in a circle such that AB=CD .Prove that AC=BD.
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In a quadrilateral if the diagonals bisect each other , then the quadrilateral should be a parallelogram. So ABCD is a parallelogram.
In a parallelogram opposite sides are equal. So AD = CB and AB = CD.
So AD.AB = CB.CD= CD.CB
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