A geometry problem by Mayank Gupta

Geometry Level 2

In a triangle \(\Delta ABC\) , the internal bisector of \(\angle A\) meets \(\overline{BC}\) at \(D\). If \(\overline{AB}=4\), \(\overline{AC}=3\) and \(\angle A=60^{\circ}\), then the length of \(\overline{AD}\) is:

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