Formula For Calculating Largest Square To Fit In A Quadrilateral

Feb 23, 2010

I know this ain't going to be easy if at all do-able, but would anyone know if there can be a formula/s made to calculate the largest size "square" shape (e.g. all 4 corners at 90 deg.) that would fit in to a known size Quadrilateral?

Value A,B,C,D and Z are all known values as are the diagonal lengths between corners

I failed dismally in Geometry at High school, but how was I to know that 35 yrs later I would need to know this stuff!!

Please see diagram for an idea of what I'm trying to achieve.

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