The following diagram shows triangle \(ABC\) in which the length of \(AB\) is \(10.2\) cm and the length of \(BC\) is \(x\) cm.
Angle \(ABC=36{}^\circ \)
It is given that triangle \(ABC\) has an area of \(65\) cm\(^{2}\), find the value of \(x\).

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