Trapezoid ABCD has sides AB=92, BC=50, CD=19 and AD=70 with AB parallel to CD.

Geometry Level pending

Trapezoid ABCD has sides AB=92, BC=50, CD=19 and AD=70 with AB parallel to CD. A circle with centre P on AB is drawn tangent to BC and AD. Given that AP=m/n, where m, n are coprime positive integers, find (m+n)/4.


The answer is 41.

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