{"kind":"task","effective_mode":"full","benchmark":{"kind":"benchmark","effective_mode":"full","slug":"math","formal_name":"MATH","introduction":"MATH organises 12,500 high-school competition problems into seven subjects and five difficulty levels, each with a full worked solution. It underlies much of the later mathematics evaluation work; this catalogue imports the full test split: 5,000 problems across all seven subjects.","introduction_ja":"","introduction_en":"","category":"Category not supplied","task_count":null,"acquisition_status":"Acquisition status not supplied","official_url":"https://github.com/hendrycks/math","indexing_mode":"index","profile":{"resources":[],"task_format":"","scoring":"","metric":"","size":"","answer_access":"","license":"","citation":"","maintainer":"","released":"","why_hard":"","related":[],"history":"","construction":"","limitations":"","saturation":"","scores":[]}},"task_id":"2e6531c0-3454-5c1a-9561-65f3493075b6","task_key":"geometry--test--2e6531c0-3454-5c1a-9561-65f3493075b6","task_revision_id":"1","upstream_id":"","short_description":"In the figure shown, $AC=13$ and $DC=2$ units. What is the length of the segment…","config":"geometry","split":"test","body":"{\"level\":\"Level 4\",\"problem\":\"In the figure shown, $AC=13$ and $DC=2$ units.  What is the length of the segment $BD$? Express your answer in simplest radical form.\\n\\n[asy]\\ndraw((0,5)--(12,5));\\ndraw((12,5)--(12,0));\\ndraw((12,0)--(0,5));\\ndraw((12,5)--(10.1,0.8));\\ndraw((10.48,1.64)--(9.47,2.06));\\ndraw((9.47,2.06)--(9.09,1.22));\\ndraw((11,5)--(11,4));\\ndraw((11,4)--(12,4));\\nlabel(\\\"A\\\",(0,5),W);\\nlabel(\\\"B\\\",(12,5),E);\\nlabel(\\\"C\\\",(12,0),E);\\nlabel(\\\"D\\\",(10.1,0.8),SW);\\n[/asy]\",\"type\":\"Geometry\"}","display_format":"math","language":"","answer_status":"published","assets":[],"source_url":"https://github.com/hendrycks/math","history":"initial import","indexing_mode":"index","subproblems":[],"grids":[]}