For a \(\Delta ABC\),

\(c=3cm\)

\(b=6cm\)

\(\cos(\angle BAC)=\frac {1}{8}\)

Find the length of \(AD\), the angle bisector of \(\angle BAC\), such that \(D\) lies on \(\overline{BC}\).

This problem is part of the set Trigonometry.

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