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Problem Description Four distinct points are arranged in a plane so that the segments connecting them has lengths \(a,a,a,a,2a,\) and \(b\). What is the ratio of \(b\) to \(a\)? $$ \textbf{(A)}\ \sqrt{3}\qquad\textbf{(B)}\ 2\qquad\textbf{(C)}\ \sqrt{5}\qquad\textbf{(D)}\ 3\qquad\textbf{(E)}\ \pi $$

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Solution A

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