{"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":"0cfaac07-328e-548f-a36d-d77819ae6a03","task_key":"geometry--test--0cfaac07-328e-548f-a36d-d77819ae6a03","task_revision_id":"1","upstream_id":"","short_description":"There are two different isosceles triangles whose side lengths are integers and…","config":"geometry","split":"test","body":"{\"level\":\"Level 4\",\"problem\":\"There are two different isosceles triangles whose side lengths are integers and whose areas are $120.$ One of these two triangles, $\\\\triangle XYZ,$ is shown. Determine the perimeter of the second triangle.\\n\\n[asy]\\ndraw((0,0)--(30,0)--(15,-8)--cycle,black+linewidth(1));\\nlabel(\\\"$X$\\\",(0,0),W);\\nlabel(\\\"$Y$\\\",(15,-8),S);\\nlabel(\\\"$Z$\\\",(30,0),E);\\nlabel(\\\"30\\\",(0,0)--(30,0),N);\\nlabel(\\\"17\\\",(0,0)--(15,-8),SW);\\nlabel(\\\"17\\\",(15,-8)--(30,0),SE);\\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":[]}