{"status": "success", "data": {"description_md": "Points $A,B,C,D$ and $E$ are located in 3-dimensional space with $AB=BC=CD=DE=EA=2$ and $\\angle ABC=\\angle CDE=\\angle DEA=90^o$. The plane of $\\triangle ABC$ is parallel to $\\overline{DE}$. What is the area of $\\triangle BDE$?\n\n$\\mathrm {(A)} \\sqrt{2}\\qquad \\mathrm {(B)} \\sqrt{3}\\qquad \\mathrm {(C)} 2\\qquad \\mathrm {(D)} \\sqrt{5}\\qquad \\mathrm {(E)} \\sqrt{6}$\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>Points  <span class=\"katex--inline\">A,B,C,D</span>  and  <span class=\"katex--inline\">E</span>  are located in 3-dimensional space with  <span class=\"katex--inline\">AB=BC=CD=DE=EA=2</span>  and  <span class=\"katex--inline\">\\angle ABC=\\angle CDE=\\angle DEA=90^o</span> . The plane of  <span class=\"katex--inline\">\\triangle ABC</span>  is parallel to  <span class=\"katex--inline\">\\overline{DE}</span> . What is the area of  <span class=\"katex--inline\">\\triangle BDE</span> ?</p>&#10;<p> <span class=\"katex--inline\">\\mathrm {(A)} \\sqrt{2}\\qquad \\mathrm {(B)} \\sqrt{3}\\qquad \\mathrm {(C)} 2\\qquad \\mathrm {(D)} \\sqrt{5}\\qquad \\mathrm {(E)} \\sqrt{6}</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": 5, "problem_name": "2007 AMC 12B Problem 25", "can_next": false, "can_prev": true, "nxt": "", "prev": "/problem/07_amc12B_p24"}}