{"status": "success", "data": {"description_md": "Circles with centers $A$ and $B$ have radii $3$ and $8$, respectively. A common internal tangent intersects the circles at $C$ and $D$, respectively. Lines $AB$ and $CD$ intersect at $E$, and $AE=5$. What is $CD$?\n\n<center>\n<img class=\"problem-image\" src=\"https://latex.artofproblemsolving.com/8/9/3/8932f7dfafa96fd7b5e9bd90951c495dea0015fb.png\" width=\"348\" height=\"192\"/>\n</center><br>\n\n$\\mathrm{(A)}\\ 13\\qquad\\mathrm{(B)}\\ \\frac{44}{3}\\qquad\\mathrm{(C)}\\ \\sqrt{221}\\qquad\\mathrm{(D)}\\ \\sqrt{255}\\qquad\\mathrm{(E)}\\ \\frac{55}{3}$", "description_html": "<p>Circles with centers <span class=\"katex--inline\">A</span> and <span class=\"katex--inline\">B</span> have radii <span class=\"katex--inline\">3</span> and <span class=\"katex--inline\">8</span>, respectively. A common internal tangent intersects the circles at <span class=\"katex--inline\">C</span> and <span class=\"katex--inline\">D</span>, respectively. Lines <span class=\"katex--inline\">AB</span> and <span class=\"katex--inline\">CD</span> intersect at <span class=\"katex--inline\">E</span>, and <span class=\"katex--inline\">AE=5</span>. What is <span class=\"katex--inline\">CD</span>?</p>&#10;<center>&#10;<img class=\"problem-image\" src=\"https://latex.artofproblemsolving.com/8/9/3/8932f7dfafa96fd7b5e9bd90951c495dea0015fb.png\" width=\"348\" height=\"192\"/>&#10;</center><br/>&#10;<p><span class=\"katex--inline\">\\mathrm{(A)}\\ 13\\qquad\\mathrm{(B)}\\ \\frac{44}{3}\\qquad\\mathrm{(C)}\\ \\sqrt{221}\\qquad\\mathrm{(D)}\\ \\sqrt{255}\\qquad\\mathrm{(E)}\\ \\frac{55}{3}</span></p>&#10;", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 4, "problem_name": "2006 AMC 10A Problem 23", "can_next": true, "can_prev": true, "nxt": "/problem/06_amc10A_p24", "prev": "/problem/06_amc10A_p22"}}