{"status": "success", "data": {"description_md": "In $\\triangle{ABC}$, $\\angle{C} = 90^{\\circ}$ and $AB = 12$. Squares $ABXY$ and $ACWZ$ are constructed outside of the triangle. The points $X, Y, Z$, and $W$ lie on a circle. What is the perimeter of the triangle?\n\n$\\textbf{(A)}\\ 12+9\\sqrt{3}\\qquad\\textbf{(B)}\\ 18+6\\sqrt{3}\\qquad\\textbf{(C)}\\ 12+12\\sqrt{2}\\qquad\\textbf{(D)}\\ 30\\qquad\\textbf{(E)}\\ 32$", "description_html": "<p>In  <span class=\"katex--inline\">\\triangle{ABC}</span> ,  <span class=\"katex--inline\">\\angle{C} = 90^{\\circ}</span>  and  <span class=\"katex--inline\">AB = 12</span> . Squares  <span class=\"katex--inline\">ABXY</span>  and  <span class=\"katex--inline\">ACWZ</span>  are constructed outside of the triangle. The points  <span class=\"katex--inline\">X, Y, Z</span> , and  <span class=\"katex--inline\">W</span>  lie on a circle. What is the perimeter of the triangle?</p>\n<p> <span class=\"katex--inline\">\\textbf{(A)}\\ 12+9\\sqrt{3}\\qquad\\textbf{(B)}\\ 18+6\\sqrt{3}\\qquad\\textbf{(C)}\\ 12+12\\sqrt{2}\\qquad\\textbf{(D)}\\ 30\\qquad\\textbf{(E)}\\ 32</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": "2015 AMC 10B Problem 19", "can_next": true, "can_prev": true, "nxt": "/problem/15_amc10B_p20", "prev": "/problem/15_amc10B_p18"}}