Given the length of the bases of a trapezoid, the median can be found by the formula (b1 + b2)/2. From this the median can be found of the two resultant trapezoids formed by the median and the bases, and ad infinitum. So, at least theoretically, the length of any chord that is parallel to the bases can be found. I wonder if there is anyone who has reduced this iterative process into a formula.
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