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Given that in triangle ABCABCABC above, ADADAD bisects ∠CAB\angle CAB∠CAB. Find ADADAD, given that (AB)⋅(AC)=10(AB) \cdot (AC) = 10(AB)⋅(AC)=10 and (BD)⋅(DC)=6(BD) \cdot(DC) = 6(BD)⋅(DC)=6.
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