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Problem Description How many triangles have area \( 10\) and vertices at \( (-5,0)\), \( (5,0)\), and \( (5\cos \theta, 5\sin \theta)\) for some angle \( \theta\)? $$\textbf{(A)}\ 0\qquad \textbf{(B)}\ 2\qquad \textbf{(C)}\ 4\qquad \textbf{(D)}\ 6\qquad \textbf{(E)}\ 8$$

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Solution C

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