// Numbas version: finer_feedback_settings
{"name": "Area of a triangle (2 sides, 1 angle, degrees)", "extensions": [], "custom_part_types": [], "resources": [["question-resources/Triangle_700.gif", "/srv/numbas/media/question-resources/Triangle_700.gif"]], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"name": "Area of a triangle (2 sides, 1 angle, degrees)", "tags": [], "metadata": {"description": "<p>A question testing the application of the Area of a Triangle formula when given two sides and an angle. In these questions, the triangle is always acute and both of the given side lengths are adjacent to the given angle.</p>", "licence": "Creative Commons Attribution 4.0 International"}, "statement": "<p>Suppose that $\\Delta ABC$ is a triangle with all interior angles less than $90^\\circ&nbsp;$. Sides and angles are labelled&nbsp;as shown in the diagram below (not to scale).</p>\n<p style=\"margin: 0px;\">Given the following two sides and an angle, find the area of the triangle.</p>\n<p style=\"margin: 0px;\"></p>\n<p style=\"margin: 0px;\"><img src=\"resources/question-resources/Triangle_700.gif\"/></p>", "advice": "<p>Use the&nbsp;formula&nbsp;$Area=\\frac{1}{2} bc \\sin A$.</p>\n<p>Hence $Area =\\frac{1}{2}* \\var{b0}*\\var{c0}* \\sin \\var{aa0}=\\var{area}$.</p>\n<p></p>", "rulesets": {"std": ["all", "!collectNumbers", "fractionNumbers", "!noLeadingMinus"]}, "extensions": [], "variables": {"cc4": {"name": "cc4", "group": "Ungrouped variables", "definition": "pi-AA3-BB3", "description": "", "templateType": "anything"}, "cc1": {"name": "cc1", "group": "Ungrouped variables", "definition": "pi-aa0-bb0", "description": "", "templateType": "anything"}, "b3": {"name": "b3", "group": "Ungrouped variables", "definition": "random(7..20)", "description": "", "templateType": "anything"}, "s5": {"name": "s5", "group": "Ungrouped variables", "definition": "sin(AA5)", "description": "", "templateType": "anything"}, "c31": {"name": "c31", "group": "Ungrouped variables", "definition": "ceil(sqrt(x4))", "description": "", "templateType": "anything"}, "c2": {"name": "c2", "group": "Ungrouped variables", "definition": "floor(sqrt(x2))", "description": "", "templateType": "anything"}, "check2": {"name": "check2", "group": "Ungrouped variables", "definition": "pi-AA3-BB3-CC3", "description": "", "templateType": "anything"}, "t3": {"name": "t3", "group": "Ungrouped variables", "definition": "sin(BB3)", "description": "", "templateType": "anything"}, "aa2": {"name": "aa2", "group": "Ungrouped variables", "definition": "precround(aa1,3)", "description": "", "templateType": "anything"}, "c3": {"name": "c3", "group": "Ungrouped variables", "definition": "random(c4..c5 except 0)", "description": "", "templateType": "anything"}, "q3": {"name": "q3", "group": "Ungrouped 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"description": "", "templateType": "anything"}, "b0": {"name": "b0", "group": "Ungrouped variables", "definition": "random(10..25)", "description": "", "templateType": "anything"}, "t2": {"name": "t2", "group": "Ungrouped variables", "definition": "sin(bb2)", "description": "", "templateType": "anything"}, "t0": {"name": "t0", "group": "Ungrouped variables", "definition": "sin(bb0)", "description": "", "templateType": "anything"}, "r3": {"name": "r3", "group": "Ungrouped variables", "definition": "(a3^2+b3^2-c3^2)/(2*a3*b3)", "description": "", "templateType": "anything"}, "x1": {"name": "x1", "group": "Ungrouped variables", "definition": "abs(a0^2-b0^2)", "description": "", "templateType": "anything"}, "u0": {"name": "u0", "group": "Ungrouped variables", "definition": "sin(cc0)", "description": "", "templateType": "anything"}, "a3": {"name": "a3", "group": "Ungrouped variables", "definition": "random(7..20)", "description": "", "templateType": "anything"}, "s3": {"name": "s3", "group": "Ungrouped variables", "definition": "sin(AA3)", "description": "", "templateType": "anything"}, "aa5": {"name": "aa5", "group": "Ungrouped variables", "definition": "precround(AA4,3)", "description": "", "templateType": "anything"}, "c32": {"name": "c32", "group": "Ungrouped variables", "definition": "ceil(min(a3,b3)*0.05)", "description": "", "templateType": "anything"}, "temp2": {"name": "temp2", "group": "Ungrouped variables", "definition": "b0-temp1", "description": "", "templateType": "anything"}, "area": {"name": "area", "group": "Ungrouped variables", "definition": "precround(0.5*b0*c0*sin(aa0*pi/180),1)", "description": "", "templateType": "anything"}}, "variablesTest": {"condition": "", "maxRuns": 100}, "ungrouped_variables": ["c4", "s3", "cc0", "temp2", "temp1", "b0", "cc3", "b3", "u2", "q0", "q3", "c0", "cc5", "s2", "s0", "cc1", "u0", "u3", "cc2", "aa5", "aa4", "aa1", "aa0", "aa3", "aa2", "x2", "c31", "c32", "a0", "a3", "bb0", "s5", "c3", "c2", "c1", "x1", "c02", "x4", "x5", "p3", "p0", "r0", "r3", "bb3", "t5", "t2", "t3", "t0", "u5", "c5", "cc4", "c01", "bb5", "bb4", "check2", "bb2", "bb1", "check1", "area"], "variable_groups": [], "functions": {}, "preamble": {"js": "", "css": ""}, "parts": [{"type": "gapfill", "useCustomName": false, "customName": "", "marks": 0, "showCorrectAnswer": true, "showFeedbackIcon": true, "scripts": {}, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "adaptiveMarkingPenalty": 0, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "prompt": "<p>$A=\\var{AA0}^\\circ$, $b=\\var{b0}$, $c=\\var{c0}$</p>\n<p>Area $=$ [[0]]</p>", "stepsPenalty": 1, "steps": [{"type": "information", "useCustomName": false, "customName": "", "marks": 0, "showCorrectAnswer": true, "showFeedbackIcon": true, "scripts": {}, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "adaptiveMarkingPenalty": 0, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "prompt": "<p>The&nbsp;formula is $Area=\\frac{1}{2} ab\\sin C$, or in this example, $Area= \\frac{1}{2} bc\\sin A$.</p>"}], "gaps": [{"type": "numberentry", "useCustomName": false, "customName": "", "marks": 2, "showCorrectAnswer": true, "showFeedbackIcon": true, "scripts": {}, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "adaptiveMarkingPenalty": 0, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "minValue": "{area}", "maxValue": "{area}", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "precisionType": "dp", "precision": "1", "precisionPartialCredit": 0, "precisionMessage": "You have not given your answer to the correct precision.", "strictPrecision": false, "showPrecisionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}], "sortAnswers": false}], "type": "question", "contributors": [{"name": "Newcastle University Mathematics and Statistics", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/697/"}, {"name": "Andrew Chuter", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/4565/"}]}]}], "contributors": [{"name": "Newcastle University Mathematics and Statistics", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/697/"}, {"name": "Andrew Chuter", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/4565/"}]}