Trapezium in a circle

Level pending

Let \(ABCD\) be an isosceles trapezium with \(AD=BC\), and with parallel bases of length \(AB=150\) and \(CD=234\). If the distance between \(\overline{AB}\) and \(\overline{CD}\) is \(56\), find the circumradius of \(ABCD\).

Details and assumptions

A trapezium has a pair of parallel sides.

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