In the given figure, ABCD is a rhombus. Then,

Since, we know that the diagonals of a rhombus bisect each other at 90°.

Hence, OA = AC, OB = BD and AOB = 90°


AB2 = OA2 + OB2


AB2 = ( AC)2 + ( BD)2


= (AC)2 + (BD)2


AB2 = (AC2 + BD2)


4AB2 = (AC2 + BD2)


Option C is correct

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