{"status": "success", "data": {"description_md": "In $\\triangle ABC$, we have $AC=BC=7$ and $AB=2$. Suppose that $D$ is a point on line $AB$ such that $B$ lies between $A$ and $D$ and $CD=8$. What is $BD$?\n\n$\\mathrm{(A)}\\ 3      \\qquad<br>\\mathrm{(B)}\\ 2\\sqrt{3}      \\qquad<br>\\mathrm{(C)}\\ 4      \\qquad<br>\\mathrm{(D)}\\ 5      \\qquad<br>\\mathrm{(E)}\\ 4\\sqrt{2}$\n___\nFull credit goes to [MAA](https://maa.org/) for authoring these problems. These problems were taken on the [AOPS](https://artofproblemsolving.com/) website.", "description_html": "<p>In  <span class=\"katex--inline\">\\triangle ABC</span> , we have  <span class=\"katex--inline\">AC=BC=7</span>  and  <span class=\"katex--inline\">AB=2</span> . Suppose that  <span class=\"katex--inline\">D</span>  is a point on line  <span class=\"katex--inline\">AB</span>  such that  <span class=\"katex--inline\">B</span>  lies between  <span class=\"katex--inline\">A</span>  and  <span class=\"katex--inline\">D</span>  and  <span class=\"katex--inline\">CD=8</span> . What is  <span class=\"katex--inline\">BD</span> ?</p>&#10;<p> <span class=\"katex--inline\">\\mathrm{(A)}\\ 3      \\qquad\\mathrm{(B)}\\ 2\\sqrt{3}      \\qquad\\mathrm{(C)}\\ 4      \\qquad\\mathrm{(D)}\\ 5      \\qquad\\mathrm{(E)}\\ 4\\sqrt{2}</span> </p>&#10;<hr><p>Full credit goes to <a href=\"https://maa.org/\">MAA</a> for authoring these problems. These problems were taken on the <a href=\"https://artofproblemsolving.com/\">AOPS</a> website.</p>", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 2, "problem_name": "2005 AMC 12B Problem 6", "can_next": true, "can_prev": true, "nxt": "/problem/05_amc12B_p07", "prev": "/problem/05_amc12B_p05"}}