{"status": "success", "data": {"description_md": "Triangle $ABC$ has right angle at $B$, and contains a point $P$ for which $PA = 10$, $PB = 6$, and $\\angle APB = \\angle BPC = \\angle CPA$. Find $PC$.<br><br>$\\includegraphics[width=126, height=64, totalheight=64]{https://latex.artofproblemsolving.com/8/5/6/856c0b0d49f86073f91e9d83dd2574c8cb01fe51.png}$\n___\nLeading zeroes must be inputted, so if your answer is `34`, then input `034`. Full 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>Triangle <span class=\"katex--inline\">ABC</span> has right angle at <span class=\"katex--inline\">B</span>, and contains a point <span class=\"katex--inline\">P</span> for which <span class=\"katex--inline\">PA = 10</span>, <span class=\"katex--inline\">PB = 6</span>, and <span class=\"katex--inline\">\\angle APB = \\angle BPC = \\angle CPA</span>. Find <span class=\"katex--inline\">PC</span>.<br/><br/><img src=\"https://latex.artofproblemsolving.com/8/5/6/856c0b0d49f86073f91e9d83dd2574c8cb01fe51.png\" width=\"126\" height=\"64\" class=\"problem-image\"/></p>&#10;<hr><p>Leading zeroes must be inputted, so if your answer is <code>34</code>, then input <code>034</code>. 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": 4, "problem_name": "1987 AIME Problem 9", "can_next": true, "can_prev": true, "nxt": "/problem/87_aime_p10", "prev": "/problem/87_aime_p08"}}