{"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":"b317499a-0a59-5451-8537-fc2fc9042b3f","task_key":"geometry--test--b317499a-0a59-5451-8537-fc2fc9042b3f","task_revision_id":"1","upstream_id":"","short_description":"A square and an equilateral triangle have equal perimeters. The area of the…","config":"geometry","split":"test","body":"{\"level\":\"Level 3\",\"problem\":\"A square and an equilateral triangle have\\tequal\\tperimeters.\\tThe area of the triangle is $16\\\\sqrt{3}$ square centimeters. How long, in centimeters, is a diagonal of the square? Express your answer in simplest radical form.\\n\\n[asy]\\ndefaultpen(linewidth(1));\\ndraw((0,0)--(1,0)--(1,1)--(0,1)--cycle);\\npair a = (1.25,0)+1.25*dir(60);\\npair b = a+1.25*dir(-60);\\ndraw((1.25,0)--a--b--cycle);\\n\\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":[]}