{"status": "success", "data": {"description_md": "A square of area $2$ is inscribed in a square of area $3$, creating four congruent triangles, as shown below. What is the ratio of the shorter leg to the longer leg in the shaded right triangle? \n<center>\n<img class=\"problem-image\" height=\"335\" src=\"https://latex.artofproblemsolving.com/7/6/3/763eea423cc19d0e0a602d3e907bd5edc03cc6b7.png\" width=\"335\"/>\n</center>\n\n$\\textbf{(A) }\\frac15\\qquad\\textbf{(B) }\\frac14\\qquad\\textbf{(C) }2-\\sqrt3\\qquad\\textbf{(D) }\\sqrt3-\\sqrt2\\qquad\\textbf{(E) }\\sqrt2-1$", "description_html": "<p>A square of area  <span class=\"katex--inline\">2</span>  is inscribed in a square of area  <span class=\"katex--inline\">3</span> , creating four congruent triangles, as shown below. What is the ratio of the shorter leg to the longer leg in the shaded right triangle?</p>\n<center>\n<img class=\"problem-image\" height=\"335\" src=\"https://latex.artofproblemsolving.com/7/6/3/763eea423cc19d0e0a602d3e907bd5edc03cc6b7.png\" width=\"335\"/>\n</center>\n<p> <span class=\"katex--inline\">\\textbf{(A) }\\frac15\\qquad\\textbf{(B) }\\frac14\\qquad\\textbf{(C) }2-\\sqrt3\\qquad\\textbf{(D) }\\sqrt3-\\sqrt2\\qquad\\textbf{(E) }\\sqrt2-1</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": 3, "problem_name": "2023 AMC 10A Problem 11", "can_next": true, "can_prev": true, "nxt": "/problem/23_amc10A_p12", "prev": "/problem/23_amc10A_p10"}}