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Drawing for harmonic mean
Posted:
Nov 16, 2010 12:12 PM


Diagonals AC,BD of a quadrilateral ABCD intersect at P. A line through P cuts AB at Q and CD at R. How should QPR be drawn so that length QR is the harmonic mean of AB and BC?
It is known that when BC is parallel to AD (case of a trapezium), the line parallel to them,length QPR, is their harmonic mean.
Best Regards, Narasimham



