{"status": "success", "data": {"description_md": "How many right triangles have integer leg lengths $a$ and $b$ and a hypotenuse of length $b+1$, where $b<100$?\n\n$\\mathrm{(A)}\\ 6\\qquad\\mathrm{(B)}\\ 7\\qquad\\mathrm{(C)}\\ 8\\qquad\\mathrm{(D)}\\ 9\\qquad\\mathrm{(E)}\\ 10$", "description_html": "<p>How many right triangles have integer leg lengths  <span class=\"katex--inline\">a</span>  and  <span class=\"katex--inline\">b</span>  and a hypotenuse of length  <span class=\"katex--inline\">b+1</span> , where  <span class=\"katex--inline\">b&lt;100</span> ?</p>\n<p> <span class=\"katex--inline\">\\mathrm{(A)}\\ 6\\qquad\\mathrm{(B)}\\ 7\\qquad\\mathrm{(C)}\\ 8\\qquad\\mathrm{(D)}\\ 9\\qquad\\mathrm{(E)}\\ 10</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": "2008 AMC 10B Problem 15", "can_next": true, "can_prev": true, "nxt": "/problem/08_amc10B_p16", "prev": "/problem/08_amc10B_p14"}}