The chord $[CD]$ is parallel to the diameter $[AB]$ of a circle with center $O$. The tangent line at $A$ meet $BC$ and $BD$ at $E$ and $F$. If $|AB|=10$, calculate $|AE|\cdot |AF|$.
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The chord $[CD]$ is parallel to the diameter $[AB]$ of a circle with center $O$. The tangent line at $A$ meet $BC$ and $BD$ at $E$ and $F$. If $|AB|=10$, calculate $|AE|\cdot |AF|$.