Chord Distance

Geometry Level 4

A circle has diameter \( AD \) of length \(400\). \(B\) and \(C\) are points on the same arc of \(AD\) such that \(|AB|=|BC|=60\). What is the length \(|CD|\)?

Details and assumptions:

Lengths given are always straight line distances, not arc lengths. We use \( | \cdot | \) in this problem to make the distinction clearer.

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