{"status": "success", "data": {"description_md": "Let $A$, $B$ and $C$ be three distinct points on the graph of $y=x^2$ such that line $AB$ is parallel to the $x$-axis and $\\triangle ABC$ is a right triangle with area $2008$. What is the sum of the digits of the $y$-coordinate of $C$?\n\n$\\textbf{(A)}\\ 16\\qquad\\textbf{(B)}\\ 17\\qquad\\textbf{(C)}\\ 18\\qquad\\textbf{(D)}\\ 19\\qquad\\textbf{(E)}\\ 20$<br>\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>Let <span class=\"katex--inline\">A</span>, <span class=\"katex--inline\">B</span> and <span class=\"katex--inline\">C</span> be three distinct points on the graph of <span class=\"katex--inline\">y=x^2</span> such that line <span class=\"katex--inline\">AB</span> is parallel to the <span class=\"katex--inline\">x</span>-axis and <span class=\"katex--inline\">\\triangle ABC</span> is a right triangle with area <span class=\"katex--inline\">2008</span>. What is the sum of the digits of the <span class=\"katex--inline\">y</span>-coordinate of <span class=\"katex--inline\">C</span>?</p>&#10;<p><span class=\"katex--inline\">\\textbf{(A)}\\ 16\\qquad\\textbf{(B)}\\ 17\\qquad\\textbf{(C)}\\ 18\\qquad\\textbf{(D)}\\ 19\\qquad\\textbf{(E)}\\ 20</span><br/></p>&#10;<hr/>&#10;<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>&#10;", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 3, "problem_name": "2008 AMC 12B Problem 17", "can_next": true, "can_prev": true, "nxt": "/problem/08_amc12B_p18", "prev": "/problem/08_amc12B_p16"}}