{"status": "success", "data": {"description_md": "Triangle $ABC$ has a right angle at $B$. Point $D$ is the foot of the altitude from $B$, $AD=3$, and $DC=4$. What is the area of $\\triangle ABC$?\n\n<center>\n<img class=\"problem-image\" height=\"138\" src=\"https://latex.artofproblemsolving.com/4/b/e/4bea2faf81f4ba6dca40fdb9ce720c9ed82b168c.png\" width=\"158\"/>\n</center>\n\n$\\mathrm{(A)}\\ 4\\sqrt3\n\\qquad\n\\mathrm{(B)}\\ 7\\sqrt3\n\\qquad\n\\mathrm{(C)}\\ 21\n\\qquad\n\\mathrm{(D)}\\ 14\\sqrt3 \n\\qquad\n\\mathrm{(E)}\\ 421$", "description_html": "<p>Triangle  <span class=\"katex--inline\">ABC</span>  has a right angle at  <span class=\"katex--inline\">B</span> . Point  <span class=\"katex--inline\">D</span>  is the foot of the altitude from  <span class=\"katex--inline\">B</span> ,  <span class=\"katex--inline\">AD=3</span> , and  <span class=\"katex--inline\">DC=4</span> . What is the area of  <span class=\"katex--inline\">\\triangle ABC</span> ?</p>\n<center>\n<img class=\"problem-image\" height=\"138\" src=\"https://latex.artofproblemsolving.com/4/b/e/4bea2faf81f4ba6dca40fdb9ce720c9ed82b168c.png\" width=\"158\"/>\n</center>\n<p> <span class=\"katex--inline\">\\mathrm{(A)}\\ 4\\sqrt3\n\\qquad\n\\mathrm{(B)}\\ 7\\sqrt3\n\\qquad\n\\mathrm{(C)}\\ 21\n\\qquad\n\\mathrm{(D)}\\ 14\\sqrt3 \n\\qquad\n\\mathrm{(E)}\\ 421</span> </p>\n<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": 1, "problem_name": "2009 AMC 10A Problem 10", "can_next": true, "can_prev": true, "nxt": "/problem/09_amc10A_p11", "prev": "/problem/09_amc10A_p09"}}