$$\(19 A B C E D\)$$ is a five-sided shape. Find the value of $$\(x\)$$ for which $$\(R\)$$ has its maximum value. Give your answer in the form $$\(\frac{p}{q-\sqrt{3}}\)$$ where $$\(p\)$$ and $$\(q\)$$ are integers. $$\[ x= \]$$ (2) (ii) Explain why the maximum value of $$\(R\)$$ is given by this value of $$\(x\)$$. (1)

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