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There's a convex quadrilateral $$ABCD$$, it is known that the area of this quadrilateral is 32, and $$AB+CD+AC=16$$, find all the possible values of $$BD$$.

Anyone know how to solve this?

(This problem is taken from an olympiad book, the given answer is $$8\sqrt2$$.)

Note by Tan Kenneth
2 years, 3 months ago