{"group":{"id":1,"name":"Community","lockable":false,"created_at":"2012-01-18T18:02:15.000Z","updated_at":"2026-05-26T00:16:20.000Z","description":"Problems submitted by members of the MATLAB Central community.","is_default":true,"created_by":161519,"badge_id":null,"featured":false,"trending":false,"solution_count_in_trending_period":0,"trending_last_calculated":"2026-05-26T00:00:00.000Z","image_id":null,"published":true,"community_created":false,"status_id":2,"is_default_group_for_player":false,"deleted_by":null,"deleted_at":null,"restored_by":null,"restored_at":null,"description_opc":null,"description_html":null,"published_at":null},"problems":[{"id":61333,"title":"Given the ratio of the two legs (longer / shorter), and the hypotenuse length, find the shorter leg.","description":"Further to the problem 43236, find the length of shorter leg\r\nP.S No built-in functions allowed","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.44px; min-height: 0px; white-space: normal; 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margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eP.S No built-in functions allowed\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function y = FindShortLeg(x,ratio)\r\n y = x;\r\nend","test_suite":"%%\r\nx = 40;\r\nratio = 16/9;\r\ny_correct = 19.6104;\r\nassert(abs(FindShortLeg(x,ratio)-y_correct)\u003c0.01)\r\n\r\n%%\r\nx = 25;\r\nratio = 16/9;\r\ny_correct = 12.2565;\r\nassert(abs(FindShortLeg(x,ratio)-y_correct)\u003c0.01)\r\n\r\n%%\r\nx = 10;\r\nratio = 16/9;\r\ny_correct =  4.9026;\r\nassert(abs(FindShortLeg(x,ratio)-y_correct)\u003c0.01)\r\n\r\n%%\r\nx = 5;\r\nratio = 4/3;\r\ny_correct = 3;\r\nassert(abs(FindShortLeg(x,ratio)-y_correct)\u003c0.01)\r\n","published":true,"deleted":false,"likes_count":0,"comments_count":0,"created_by":584788,"edited_by":584788,"edited_at":"2026-05-21T11:24:29.000Z","deleted_by":null,"deleted_at":null,"solvers_count":11,"test_suite_updated_at":"2026-05-21T05:44:56.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2026-05-21T05:28:33.000Z","updated_at":"2026-05-28T09:37:04.000Z","published_at":"2026-05-21T05:28:33.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eFurther to the problem 43236, find the length of shorter leg\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eP.S No built-in functions allowed\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"}],"problem_search":{"problems":[{"id":61333,"title":"Given the ratio of the two legs (longer / shorter), and the hypotenuse length, find the shorter leg.","description":"Further to the problem 43236, find the length of shorter leg\r\nP.S No built-in functions allowed","description_html":"\u003cdiv style = \"text-align: start; 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\"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eFurther to the problem 43236, find the length of shorter leg\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 219.5px 10.5px; text-align: left; transform-origin: 219.5px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; 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