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SMO 2021 Junior Round 1 Question 16

SMO · SMO 2021 Junior Round 1

Question 16

In the following diagram, $ABCD$ is a quadrilateral inscribed in a circle with centre $O$. If $|AB|=|BC|=6$, $|AD|=14$ and $CD$ is a diameter, what is the length of $|CD|$?

Question illustration