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It has become obvious that the Shapes category was in way over its head with all sorts of geometrical problems. So, the hard-core Geometry problems will now reside here, where they will fit in much better.
A circle is inscribed in a quadrilateral ABCD, where M and N are midpoints of AC and BD, respectively. If AB=5, CD=9, and AC2 +BD2 +4MN2 =218. Find the value of BC*DA.
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