{"status": "success", "data": {"description_md": "Points $P$ and $Q$ lie in a plane with $PQ=8$. How many locations for point $R$ in this plane are there such that the triangle with vertices $P$, $Q$, and $R$ is a right triangle with area $12$ square units?\n\n$\\textbf{(A)}\\ 2 \\qquad\\textbf{(B)}\\ 4 \\qquad\\textbf{(C)}\\  6 \\qquad\\textbf{(D)}\\ 8 \\qquad\\textbf{(E)}\\ 12$", "description_html": "<p>Points  <span class=\"katex--inline\">P</span>  and  <span class=\"katex--inline\">Q</span>  lie in a plane with  <span class=\"katex--inline\">PQ=8</span> . How many locations for point  <span class=\"katex--inline\">R</span>  in this plane are there such that the triangle with vertices  <span class=\"katex--inline\">P</span> ,  <span class=\"katex--inline\">Q</span> , and  <span class=\"katex--inline\">R</span>  is a right triangle with area  <span class=\"katex--inline\">12</span>  square units?</p>\n<p> <span class=\"katex--inline\">\\textbf{(A)}\\ 2 \\qquad\\textbf{(B)}\\ 4 \\qquad\\textbf{(C)}\\  6 \\qquad\\textbf{(D)}\\ 8 \\qquad\\textbf{(E)}\\ 12</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": "2020 AMC 10B Problem 8", "can_next": true, "can_prev": true, "nxt": "/problem/20_amc10B_p09", "prev": "/problem/20_amc10B_p07"}}