{"status": "success", "data": {"description_md": "Two circles of radius $5$ are externally tangent to each other and are internally tangent to a circle of radius $13$ at points $A$ and $B$, as shown in the diagram. The distance $AB$ can be written in the form $\\tfrac{m}{n}$, where $m$ and $n$ are relatively prime positive integers. What is $m+n$?\n\n
\n\n

\n\n$\\textbf{(A) } 21 \\qquad \\textbf{(B) } 29 \\qquad \\textbf{(C) } 58 \\qquad \\textbf{(D) } 69 \\qquad \\textbf{(E) } 93$", "description_html": "

Two circles of radius 5 are externally tangent to each other and are internally tangent to a circle of radius 13 at points A and B, as shown in the diagram. The distance AB can be written in the form \\tfrac{m}{n}, where m and n are relatively prime positive integers. What is m+n?


\\textbf{(A) } 21 \\qquad \\textbf{(B) } 29 \\qquad \\textbf{(C) } 58 \\qquad \\textbf{(D) } 69 \\qquad \\textbf{(E) } 93

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