# 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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