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Problem Description Triangle \( ABC\) has \( AB=13\) and \( AC=15\), and the altitude to \( \overline{BC}\) has length \( 12\). What is the sum of the two possible values of \( BC\)? $$\textbf{(A)}\ 15\qquad \textbf{(B)}\ 16\qquad \textbf{(C)}\ 17\qquad \textbf{(D)}\ 18\qquad \textbf{(E)}\ 19$$

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Solution D

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