Question 13

In a convex quadrilateral $$𝐴𝐡𝐢𝐷$$, the lengths of the diagonals are $$12$$ and $$16$$ and the line segments joining the midpoints of the opposite sides are of equal length. What is the maximum possible area of the quadrilateral $$𝐴𝐡𝐢𝐷$$?


Correct Answer: 96

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