Jordan Tabov, Asen Velchev, S. Stefanov, Haim Haimov
{"title":"Нова формула за лице на четириъгълник (четиво за VII клас)","authors":"Jordan Tabov, Asen Velchev, S. Stefanov, Haim Haimov","doi":"10.53656/math2023-1-1-ane","DOIUrl":null,"url":null,"abstract":"Here we derive formula for the area of a quadrilateral with angle 45º between the diagonals, which is a special case of a more general formula for the area of a quadrilateral (Haimov 2022). Along the way we obtain formulas for the area of triangles with angle of 45º/135º. We also give formulas for the area of specific kinds of pentagons and hexagons, in the form of problems.","PeriodicalId":41818,"journal":{"name":"Mathematics and Informatics","volume":"66 1","pages":""},"PeriodicalIF":0.2000,"publicationDate":"2023-02-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mathematics and Informatics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.53656/math2023-1-1-ane","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"EDUCATION & EDUCATIONAL RESEARCH","Score":null,"Total":0}
引用次数: 0
Abstract
Here we derive formula for the area of a quadrilateral with angle 45º between the diagonals, which is a special case of a more general formula for the area of a quadrilateral (Haimov 2022). Along the way we obtain formulas for the area of triangles with angle of 45º/135º. We also give formulas for the area of specific kinds of pentagons and hexagons, in the form of problems.
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