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$$\sin A=\frac{5.6}{6.5}$$ $$\sin C=\frac{6.0}{6.5}$$ $$\cos A=\frac{3.3}{6.5}$$ $$\cos C=\frac{2.5}{6.5}$$ $$\begin{array}{rl} \sin B&=\sin(\pi-A-C)\\ &=\sin(A+B)\\ &=\sin A\cos C + \cos A\sin C\\ &=\frac{5.6}{6.5}\frac{2.5}{6.5}+\frac{6.0}{6.5}\frac{3.3}{6.5}\\ &=\frac{33.8}{6.5^2} \end{array}$$ $$\begin{array}{rl} CB&=\frac{CA\sin A}{\sin B}\\ &=\frac{6.5\times\frac{5.6}{6.5}}{\frac{33.8}{6.5^2}}\\ &=\frac{6.5^2\times5.6}{33.8}\\ &=7\text{cm} \end{array}$$ $$\begin{array}{rl} AB&=\frac{CA\sin C}{\sin B}\\ &=\frac{6.5\times\frac{6}{6.5}}{\frac{33.8}{6.5^2}}\\ &=\frac{6.5^2\times6}{33.8}\\ &=7.5\text{cm} \end{array}$$