{"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><br>\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>&#10;<center>&#10;<img class=\"problem-image\" height=\"138\" src=\"https://latex.artofproblemsolving.com/4/b/e/4bea2faf81f4ba6dca40fdb9ce720c9ed82b168c.png\" width=\"158\"/>&#10;</center><br/>&#10;<p><span class=\"katex--inline\">\\mathrm{(A)}\\ 4\\sqrt3&#10;\\qquad&#10;\\mathrm{(B)}\\ 7\\sqrt3&#10;\\qquad&#10;\\mathrm{(C)}\\ 21&#10;\\qquad&#10;\\mathrm{(D)}\\ 14\\sqrt3 &#10;\\qquad&#10;\\mathrm{(E)}\\ 421</span></p>&#10;", "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"}}