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Find the length of the diagonal BD

Source: MTRP 2017 Class 11-Multiple Choice Question: Problem 7 :-

May 25, 2020
geometry

Problem Statement

Let ABCDABCD be a quadrilateral with sides AB=2AB=2, BC=CD=4BC=CD=4 and DA=5DA=5. The opposite angles AA and CC are equal. The length of diagonal BDBD equals
[*] 262\sqrt{6} [*] 333\sqrt{3} [*] 363\sqrt{6} [*] 232\sqrt{3}