{"id":865,"date":"2020-08-08T08:27:06","date_gmt":"2020-08-08T06:27:06","guid":{"rendered":"http:\/\/matma.com.pl\/?p=865"},"modified":"2020-08-15T20:25:10","modified_gmt":"2020-08-15T18:25:10","slug":"trojkaty","status":"publish","type":"post","link":"http:\/\/matma.com.pl\/?p=865","title":{"rendered":"Tr\u00f3jk\u0105ty"},"content":{"rendered":"<p><span style=\"font-family: 'book antiqua', palatino, serif;\"><strong><span style=\"color: #4472c4;\">Tr\u00f3jk\u0105t<\/span><\/strong> to figura geometryczna, kt\u00f3ra ma trzy boki, trzy wierzcho\u0142ki oraz trzy k\u0105ty. Dwa boki tr\u00f3jk\u0105ta nazywamy <span style=\"color: #4472c4;\">ramionami,<\/span> a trzeci to <span style=\"color: #4472c4;\">podstawa<\/span>.<\/span><\/p>\n<p><span style=\"text-decoration: underline; font-family: 'book antiqua', palatino, serif;\">Podzia\u0142 tr\u00f3jk\u0105t\u00f3w ze wzgl\u0119du na k\u0105ty:<\/span><\/p>\n<ul>\n<li><span style=\"color: #4472c4; font-family: 'book antiqua', palatino, serif;\">tr\u00f3jk\u0105t ostrok\u0105tny<\/span><\/li>\n<\/ul>\n<p><span style=\"font-family: 'book antiqua', palatino, serif;\">Ma wszystkie k\u0105ty ostre.<\/span><\/p>\n<p><span style=\"font-family: 'book antiqua', palatino, serif;\"><img decoding=\"async\" class=\"alignnone wp-image-885 aligncenter\" src=\"http:\/\/matma.com.pl\/wp-content\/uploads\/2020\/08\/tr-ostrok\u0105tny-300x179.png\" alt=\"\" width=\"248\" height=\"149\" srcset=\"http:\/\/matma.com.pl\/wp-content\/uploads\/2020\/08\/tr-ostrok\u0105tny-300x179.png 300w, http:\/\/matma.com.pl\/wp-content\/uploads\/2020\/08\/tr-ostrok\u0105tny.png 393w\" sizes=\"(max-width: 248px) 100vw, 248px\" \/><\/span><\/p>\n<ul>\n<li><span style=\"color: #4472c4; font-family: 'book antiqua', palatino, serif;\">tr\u00f3jk\u0105t prostok\u0105tny<\/span><\/li>\n<\/ul>\n<p><span style=\"font-family: 'book antiqua', palatino, serif;\">Ma jeden k\u0105t prosty (<img decoding=\"async\" src=\"http:\/\/latex.codecogs.com\/gif.latex?90^{\\circ&amp;space;}\" alt=\"90^{\\circ }\" align=\"absmiddle\" \/>) i dwa k\u0105ty ostre. Boki przy k\u0105cie prostym nazywamy <span style=\"color: #4472c4;\">przyprostok\u0105tnymi,<\/span> a bok naprzeciwko tego k\u0105ta <span style=\"color: #4472c4;\">przeciwprostok\u0105tn\u0105<\/span>.<\/span><\/p>\n<p><span style=\"font-family: 'book antiqua', palatino, serif;\"><img fetchpriority=\"high\" decoding=\"async\" class=\"wp-image-878 aligncenter\" src=\"http:\/\/matma.com.pl\/wp-content\/uploads\/2020\/08\/tr-prostok\u0105tny-300x157.png\" alt=\"\" width=\"365\" height=\"191\" srcset=\"http:\/\/matma.com.pl\/wp-content\/uploads\/2020\/08\/tr-prostok\u0105tny-300x157.png 300w, http:\/\/matma.com.pl\/wp-content\/uploads\/2020\/08\/tr-prostok\u0105tny-390x205.png 390w, http:\/\/matma.com.pl\/wp-content\/uploads\/2020\/08\/tr-prostok\u0105tny.png 641w\" sizes=\"(max-width: 365px) 100vw, 365px\" \/><\/span><\/p>\n<ul>\n<li><span style=\"color: #4472c4; font-family: 'book antiqua', palatino, serif;\">tr\u00f3jk\u0105t rozwartok\u0105tny<\/span><\/li>\n<\/ul>\n<p><span style=\"font-family: 'book antiqua', palatino, serif;\">Ma jeden k\u0105t rozwarty i dwa k\u0105ty ostre.<\/span><\/p>\n<p><span style=\"font-family: 'book antiqua', palatino, serif;\"><img decoding=\"async\" class=\"alignnone wp-image-886 aligncenter\" src=\"http:\/\/matma.com.pl\/wp-content\/uploads\/2020\/08\/tr-rozwartok\u0105tny-300x152.png\" alt=\"\" width=\"276\" height=\"140\" srcset=\"http:\/\/matma.com.pl\/wp-content\/uploads\/2020\/08\/tr-rozwartok\u0105tny-300x152.png 300w, http:\/\/matma.com.pl\/wp-content\/uploads\/2020\/08\/tr-rozwartok\u0105tny.png 429w\" sizes=\"(max-width: 276px) 100vw, 276px\" \/><\/span><\/p>\n<p><span style=\"text-decoration: underline; font-family: 'book antiqua', palatino, serif;\">Podzia\u0142 ze wzgl\u0119du na boki:<\/span><\/p>\n<ul>\n<li><span style=\"color: #4472c4; font-family: 'book antiqua', palatino, serif;\">tr\u00f3jk\u0105t r\u00f3\u017cnoboczny<\/span><\/li>\n<\/ul>\n<p><span style=\"font-family: 'book antiqua', palatino, serif;\">Ma r\u00f3\u017cne d\u0142ugo\u015bci bok\u00f3w, r\u00f3\u017cne miary k\u0105t\u00f3w. J<span style=\"color: #000000;\">est taka zasada w tr\u00f3jk\u0105cie, kt\u00f3ra m\u00f3wi, \u017ce na przeciwko najwi\u0119kszego k\u0105ta le\u017cy najd\u0142u\u017cszy bok, a na przeciwko najkr\u00f3tszego boku le\u017cy najmniejszy k\u0105t.<\/span><\/span><\/p>\n<p><span style=\"font-family: 'book antiqua', palatino, serif;\"><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-879 aligncenter\" src=\"http:\/\/matma.com.pl\/wp-content\/uploads\/2020\/08\/r\u00f3\u017cnoboczny-300x138.png\" alt=\"\" width=\"476\" height=\"219\" srcset=\"http:\/\/matma.com.pl\/wp-content\/uploads\/2020\/08\/r\u00f3\u017cnoboczny-300x138.png 300w, http:\/\/matma.com.pl\/wp-content\/uploads\/2020\/08\/r\u00f3\u017cnoboczny.png 619w\" sizes=\"(max-width: 476px) 100vw, 476px\" \/><\/span><\/p>\n<ul>\n<li><span style=\"color: #4472c4; font-family: 'book antiqua', palatino, serif;\">tr\u00f3jk\u0105t r\u00f3wnoramienny<\/span><\/li>\n<\/ul>\n<p><span style=\"font-family: 'book antiqua', palatino, serif;\">Ma dwa boki r\u00f3wnej d\u0142ugo\u015bci (ramiona) i dwa k\u0105ty przy podstawie o r\u00f3wnej mierze.<\/span><\/p>\n<p><span style=\"font-family: 'book antiqua', palatino, serif;\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-881 aligncenter\" src=\"http:\/\/matma.com.pl\/wp-content\/uploads\/2020\/08\/r\u00f3wnoramienny-278x300.png\" alt=\"\" width=\"297\" height=\"321\" srcset=\"http:\/\/matma.com.pl\/wp-content\/uploads\/2020\/08\/r\u00f3wnoramienny-278x300.png 278w, http:\/\/matma.com.pl\/wp-content\/uploads\/2020\/08\/r\u00f3wnoramienny.png 396w\" sizes=\"(max-width: 297px) 100vw, 297px\" \/><\/span><\/p>\n<ul>\n<li><span style=\"font-family: 'book antiqua', palatino, serif;\"><span style=\"color: #4472c4;\">tr\u00f3jk\u0105t r\u00f3wnoboczny<\/span> (foremny)<\/span><\/li>\n<\/ul>\n<p><span style=\"font-family: 'book antiqua', palatino, serif;\">Ma wszystkie boki i k\u0105ty r\u00f3wne (<img decoding=\"async\" src=\"http:\/\/latex.codecogs.com\/gif.latex?60^{\\circ&amp;space;}\" alt=\"60^{\\circ }\" align=\"absmiddle\" \/>).<\/span><\/p>\n<p><span style=\"font-family: 'book antiqua', palatino, serif;\"><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-1234 aligncenter\" src=\"http:\/\/matma.com.pl\/wp-content\/uploads\/2020\/08\/r\u00f3wnoboczny-300x239.png\" alt=\"\" width=\"324\" height=\"258\" srcset=\"http:\/\/matma.com.pl\/wp-content\/uploads\/2020\/08\/r\u00f3wnoboczny-300x239.png 300w, http:\/\/matma.com.pl\/wp-content\/uploads\/2020\/08\/r\u00f3wnoboczny.png 456w\" sizes=\"(max-width: 324px) 100vw, 324px\" \/><\/span><\/p>\n<p><span style=\"font-family: 'book antiqua', palatino, serif;\">Suma miar k\u0105t\u00f3w w tr\u00f3jk\u0105cie wynosi <img decoding=\"async\" src=\"http:\/\/latex.codecogs.com\/gif.latex?180^{\\circ&amp;space;}\" alt=\"180^{\\circ }\" align=\"absmiddle\" \/>.<\/span><\/p>\n<p><span style=\"font-family: 'book antiqua', palatino, serif;\"><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-891 aligncenter\" src=\"http:\/\/matma.com.pl\/wp-content\/uploads\/2020\/08\/suma-miar-k\u0105t\u00f3w-tr\u00f3jk\u0105t-1-287x300.png\" alt=\"\" width=\"252\" height=\"262\" srcset=\"http:\/\/matma.com.pl\/wp-content\/uploads\/2020\/08\/suma-miar-k\u0105t\u00f3w-tr\u00f3jk\u0105t-1-287x300.png 287w, http:\/\/matma.com.pl\/wp-content\/uploads\/2020\/08\/suma-miar-k\u0105t\u00f3w-tr\u00f3jk\u0105t-1.png 296w\" sizes=\"(max-width: 252px) 100vw, 252px\" \/><\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tr\u00f3jk\u0105t to figura geometryczna, kt\u00f3ra ma trzy boki, trzy wierzcho\u0142ki oraz trzy k\u0105ty. Dwa boki tr\u00f3jk\u0105ta nazywamy ramionami, a trzeci to podstawa. Podzia\u0142 tr\u00f3jk\u0105t\u00f3w ze wzgl\u0119du na k\u0105ty: tr\u00f3jk\u0105t ostrok\u0105tny Ma wszystkie k\u0105ty ostre. tr\u00f3jk\u0105t prostok\u0105tny Ma jeden k\u0105t prosty () i dwa k\u0105ty ostre. Boki przy k\u0105cie prostym nazywamy przyprostok\u0105tnymi, a bok naprzeciwko tego [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[6,12],"tags":[],"class_list":["post-865","post","type-post","status-publish","format-standard","hentry","category-baza-wiedzy","category-klasa-v"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v20.1 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Tr\u00f3jk\u0105ty - Matma.com.pl<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"http:\/\/matma.com.pl\/?p=865\" \/>\n<meta property=\"og:locale\" content=\"pl_PL\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Tr\u00f3jk\u0105ty - Matma.com.pl\" \/>\n<meta property=\"og:description\" content=\"Tr\u00f3jk\u0105t to figura geometryczna, kt\u00f3ra ma trzy boki, trzy wierzcho\u0142ki oraz trzy k\u0105ty. 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