The diagram shows the prism $$\(A B C D E F\)$$ with cross section triangle $$\(A B C\)$$. Angle $$\(B E C=40^{\circ}\)$$ and angle $$\(A C B\)$$ is obtuse. $$\(A C=6 \mathrm{~cm}\)$$ and $$\(C E=13 \mathrm{~cm}\)$$ The area of triangle $$\(A B C\)$$ is $$\(22 \mathrm{~cm}^{2}\)$$ Calculate the length of $$\(A B\)$$. Give your answer correct to one decimal place. $$\(\mathrm{cm}\)$$

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