{"status": "success", "data": {"description_md": "In the obtuse triangle $ABC$, $AM = MB$, $MD \\perp BC$, $EC \\perp BC$. If the area of $\\triangle ABC$ is $24$, then the area of $\\triangle BED$ is\n\n<center><img class=\"problem-image\" src=\"/static/AHSME/1984/crops/84_ahsme_p26_fig.png\" alt=\"figure\" width=\"480\"></center>\n\n$\\text{(A)}\\ 9\\qquad\\text{(B)}\\ 12\\qquad\\text{(C)}\\ 15\\qquad\\text{(D)}\\ 18\\qquad\\text{(E)}\\ \\text{not uniquely determined}$\n\n___\n\nFull credit goes to [MAA](https://maa.org/) for authoring these problems. These problems were taken on the [AOPS](https://artofproblemsolving.com/) website.\n", "description_html": "<p>In the obtuse triangle <span class=\"katex--inline\">ABC</span>, <span class=\"katex--inline\">AM = MB</span>, <span class=\"katex--inline\">MD \\perp BC</span>, <span class=\"katex--inline\">EC \\perp BC</span>. If the area of <span class=\"katex--inline\">\\triangle ABC</span> is <span class=\"katex--inline\">24</span>, then the area of <span class=\"katex--inline\">\\triangle BED</span> is</p>\n<center><img class=\"problem-image\" src=\"/static/AHSME/1984/crops/84_ahsme_p26_fig.png\" alt=\"figure\" width=\"480\"></center>\n<p><span class=\"katex--inline\">\\text{(A)}\\ 9\\qquad\\text{(B)}\\ 12\\qquad\\text{(C)}\\ 15\\qquad\\text{(D)}\\ 18\\qquad\\text{(E)}\\ \\text{not uniquely determined}</span></p>\n<hr>\n<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>\n", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 3, "problem_name": "1984 AHSME Problem 26", "can_next": true, "can_prev": true, "nxt": "/problem/84_ahsme_p27", "prev": "/problem/84_ahsme_p25"}}