There are two triangles satisfying \(\angle BCA = 60^{\circ}, AB = 9\) and \(AC = 10\) shown below:The possible values of \(BC\) are \(a_1\) and \(a_2\) as shown in the picture with \(a_1\)<\(a_2\). Then what are \(a_1\), \(a_2\) in that order?
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