{"status": "success", "data": {"description_md": "Real numbers $x$ and $y$ are chosen independently and uniformly at random from the interval $[0,1]$. Which of the following numbers is closest to the probability that $x,y,$ and $1$ are the side lengths of an obtuse triangle?\n\n$\\textbf{(A) }0.21 \\qquad\n\\textbf{(B) }0.25 \\qquad\n\\textbf{(C) }0.29 \\qquad\n\\textbf{(D) }0.50 \\qquad\n\\textbf{(E) }0.79 \\qquad$", "description_html": "<p>Real numbers  <span class=\"katex--inline\">x</span>  and  <span class=\"katex--inline\">y</span>  are chosen independently and uniformly at random from the interval  <span class=\"katex--inline\">[0,1]</span> . Which of the following numbers is closest to the probability that  <span class=\"katex--inline\">x,y,</span>  and  <span class=\"katex--inline\">1</span>  are the side lengths of an obtuse triangle?</p>\n<p> <span class=\"katex--inline\">\\textbf{(A) }0.21 \\qquad\n\\textbf{(B) }0.25 \\qquad\n\\textbf{(C) }0.29 \\qquad\n\\textbf{(D) }0.50 \\qquad\n\\textbf{(E) }0.79 \\qquad</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": 4, "problem_name": "2018 AMC 10B Problem 22", "can_next": true, "can_prev": true, "nxt": "/problem/18_amc10B_p23", "prev": "/problem/18_amc10B_p21"}}