{"id":1201,"date":"2020-08-14T22:47:20","date_gmt":"2020-08-14T20:47:20","guid":{"rendered":"http:\/\/matma.com.pl\/?p=1201"},"modified":"2020-08-16T13:54:06","modified_gmt":"2020-08-16T11:54:06","slug":"trojkaty-2","status":"publish","type":"post","link":"http:\/\/matma.com.pl\/?p=1201","title":{"rendered":"Tr\u00f3jk\u0105ty"},"content":{"rendered":"<p><span style=\"font-family: 'book antiqua', palatino, serif;\"><span style=\"color: #4472c4;\"><strong>Tr\u00f3jk\u0105t<\/strong><\/span>\u00a0to figura geometryczna, kt\u00f3ra ma trzy boki, trzy wierzcho\u0142ki oraz trzy k\u0105ty. Dwa boki tr\u00f3jk\u0105ta nazywamy\u00a0ramionami,\u00a0a trzeci to\u00a0podstawa.<\/span><\/p>\n<p><span style=\"font-family: 'book antiqua', palatino, serif;\"><img decoding=\"async\" class=\"wp-image-1231 aligncenter\" src=\"http:\/\/matma.com.pl\/wp-content\/uploads\/2020\/08\/tr\u00f3jk\u0105cik-300x194.png\" alt=\"\" width=\"255\" height=\"165\" srcset=\"http:\/\/matma.com.pl\/wp-content\/uploads\/2020\/08\/tr\u00f3jk\u0105cik-300x194.png 300w, http:\/\/matma.com.pl\/wp-content\/uploads\/2020\/08\/tr\u00f3jk\u0105cik.png 388w\" sizes=\"(max-width: 255px) 100vw, 255px\" \/><\/span><\/p>\n<p><span style=\"font-family: 'book antiqua', palatino, serif;\">\u00a0Jest 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><\/p>\n<p><span style=\"font-family: 'book antiqua', palatino, serif;\"><img fetchpriority=\"high\" decoding=\"async\" class=\"wp-image-879 aligncenter\" src=\"http:\/\/matma.com.pl\/wp-content\/uploads\/2020\/08\/r\u00f3\u017cnoboczny-300x138.png\" alt=\"\" width=\"395\" height=\"182\" 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: 395px) 100vw, 395px\" \/><\/span><\/p>\n<p><span style=\"text-decoration: underline;\"><span style=\"font-family: 'book antiqua', palatino, serif;\">Suma miar k\u0105t\u00f3w w tr\u00f3jk\u0105cie wynosi\u00a0<img decoding=\"async\" src=\"http:\/\/latex.codecogs.com\/gif.latex?180^{\\circ&amp;space;}\" alt=\"180^{\\circ }\" align=\"absmiddle\" \/>.<\/span><\/span><\/p>\n<p><span style=\"font-family: 'book antiqua', palatino, serif;\"><img decoding=\"async\" class=\"alignnone 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=\"176\" height=\"184\" 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: 176px) 100vw, 176px\" \/><\/span><\/p>\n<p><span style=\"font-family: 'book antiqua', palatino, serif;\">Kiedy mo\u017cemy zbudowa\u0107 tr\u00f3jk\u0105t z trzech dowolnych odcink\u00f3w?<\/span><\/p>\n<p><span style=\"font-family: 'book antiqua', palatino, serif;\">Wystarczy sprawdzi\u0107 czy najd\u0142u\u017cszy odcinek jest kr\u00f3tszy ni\u017c suma dw\u00f3ch pozosta\u0142ych.<\/span><\/p>\n<p><span style=\"font-family: 'book antiqua', palatino, serif;\"><img loading=\"lazy\" decoding=\"async\" class=\" wp-image-1233 aligncenter\" src=\"http:\/\/matma.com.pl\/wp-content\/uploads\/2020\/08\/nier\u00f3wno\u015b\u0107-tr\u00f3jk\u0105ta-300x204.png\" alt=\"\" width=\"244\" height=\"166\" srcset=\"http:\/\/matma.com.pl\/wp-content\/uploads\/2020\/08\/nier\u00f3wno\u015b\u0107-tr\u00f3jk\u0105ta-300x204.png 300w, http:\/\/matma.com.pl\/wp-content\/uploads\/2020\/08\/nier\u00f3wno\u015b\u0107-tr\u00f3jk\u0105ta.png 407w\" sizes=\"(max-width: 244px) 100vw, 244px\" \/><\/span><\/p>\n<p><span style=\"font-family: 'book antiqua', palatino, serif;\"><span style=\"color: #4472c4;\"><strong><span style=\"text-decoration: underline;\">NIER\u00d3WNO\u015a\u0106 TR\u00d3JK\u0104TA:<\/span><\/strong><\/span> suma d\u0142ugo\u015bci dw\u00f3ch bok\u00f3w tr\u00f3jk\u0105ta musi by\u0107 zawsze wi\u0119ksza od d\u0142ugo\u015bci\u00a0 trzeciego\u00a0<\/span><span style=\"font-family: 'book antiqua', palatino, serif;\">boku <\/span><span style=\"font-family: 'book antiqua', palatino, serif;\">tego tr\u00f3jk\u0105ta.<\/span><\/p>\n<p><span style=\"text-decoration: underline;\"><span style=\"font-family: 'book antiqua', palatino, serif;\">Podzia\u0142 tr\u00f3jk\u0105t\u00f3w ze wzgl\u0119du na d\u0142ugo\u015b\u0107 bok\u00f3w:<\/span><\/span><\/p>\n<p><span style=\"font-family: 'book antiqua', palatino, serif;\"><span style=\"color: #4472c4;\">Tr\u00f3jk\u0105t r\u00f3\u017cnoboczny<\/span> &#8211; wszystkie boki r\u00f3\u017cnej d\u0142ugo\u015bci.<\/span><\/p>\n<p><span style=\"font-family: 'book antiqua', palatino, serif;\"><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-885 aligncenter\" src=\"http:\/\/matma.com.pl\/wp-content\/uploads\/2020\/08\/tr-ostrok\u0105tny-300x179.png\" alt=\"\" width=\"196\" height=\"117\" 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: 196px) 100vw, 196px\" \/><\/span><\/p>\n<p><span style=\"font-family: 'book antiqua', palatino, serif;\"><span style=\"color: #4472c4;\">Tr\u00f3jk\u0105t r\u00f3wnoramienny<\/span> &#8211; przynajmniej dwa boku takiej samej d\u0142ugo\u015bci.<\/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=\"185\" height=\"201\" \/><\/span><\/p>\n<p><span style=\"font-family: 'book antiqua', palatino, serif;\"><span style=\"color: #4472c4;\">Tr\u00f3jk\u0105t r\u00f3wnoboczny<\/span> &#8211; wszystkie boki tej samej d\u0142ugo\u015bci. Tr\u00f3jk\u0105t r\u00f3wnoboczny to tak\u017ce tr\u00f3jk\u0105t r\u00f3wnoramienny.<\/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=\"232\" height=\"185\" 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: 232px) 100vw, 232px\" \/><\/span><\/p>\n<p><span style=\"text-decoration: underline;\"><span style=\"font-family: 'book antiqua', palatino, serif;\">Podzia\u0142 tr\u00f3jk\u0105t\u00f3w ze wzgl\u0119du na k\u0105ty:<\/span><\/span><\/p>\n<p><span style=\"font-family: 'book antiqua', palatino, serif;\"><span style=\"color: #4472c4;\">Tr\u00f3jk\u0105t ostrok\u0105tny<\/span> &#8211; wszystkie k\u0105ty s\u0105 ostre<\/span><\/p>\n<p><span style=\"font-family: 'book antiqua', palatino, serif;\"><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-885 aligncenter\" src=\"http:\/\/matma.com.pl\/wp-content\/uploads\/2020\/08\/tr-ostrok\u0105tny-300x179.png\" alt=\"\" width=\"205\" height=\"122\" 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: 205px) 100vw, 205px\" \/><\/span><\/p>\n<p><span style=\"font-family: 'book antiqua', palatino, serif;\"><span style=\"color: #4472c4;\">Tr\u00f3jk\u0105t prostok\u0105tny<\/span> &#8211; ma jeden k\u0105t prosty i dwa katy ostre<\/span><\/p>\n<p><span style=\"font-family: 'book antiqua', palatino, serif;\"><img loading=\"lazy\" decoding=\"async\" class=\"size-medium wp-image-878 aligncenter\" src=\"http:\/\/matma.com.pl\/wp-content\/uploads\/2020\/08\/tr-prostok\u0105tny-300x157.png\" alt=\"\" width=\"300\" height=\"157\" 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: 300px) 100vw, 300px\" \/><\/span><\/p>\n<p><span style=\"font-family: 'book antiqua', palatino, serif;\"><span style=\"color: #4472c4;\">Tr\u00f3jk\u0105t rozwartok\u0105tny<\/span> &#8211; ma jeden k\u0105t rozwarty i dwa katy ostre<\/span><\/p>\n<p><span style=\"font-family: 'book antiqua', palatino, serif;\"><img loading=\"lazy\" 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=\"227\" height=\"115\" 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: 227px) 100vw, 227px\" \/><\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tr\u00f3jk\u0105t\u00a0to figura geometryczna, kt\u00f3ra ma trzy boki, trzy wierzcho\u0142ki oraz trzy k\u0105ty. Dwa boki tr\u00f3jk\u0105ta nazywamy\u00a0ramionami,\u00a0a trzeci to\u00a0podstawa. \u00a0Jest 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. Suma miar k\u0105t\u00f3w w tr\u00f3jk\u0105cie wynosi\u00a0. Kiedy mo\u017cemy zbudowa\u0107 tr\u00f3jk\u0105t z trzech dowolnych odcink\u00f3w? [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[6,13],"tags":[],"class_list":["post-1201","post","type-post","status-publish","format-standard","hentry","category-baza-wiedzy","category-klasa-vi"],"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=1201\" \/>\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\u00a0to figura geometryczna, kt\u00f3ra ma trzy boki, trzy wierzcho\u0142ki oraz trzy k\u0105ty. Dwa boki tr\u00f3jk\u0105ta nazywamy\u00a0ramionami,\u00a0a trzeci to\u00a0podstawa. \u00a0Jest 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. Suma miar k\u0105t\u00f3w w tr\u00f3jk\u0105cie wynosi\u00a0. Kiedy mo\u017cemy zbudowa\u0107 tr\u00f3jk\u0105t z trzech dowolnych odcink\u00f3w? 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Dwa boki tr\u00f3jk\u0105ta nazywamy\u00a0ramionami,\u00a0a trzeci to\u00a0podstawa. \u00a0Jest 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. Suma miar k\u0105t\u00f3w w tr\u00f3jk\u0105cie wynosi\u00a0. Kiedy mo\u017cemy zbudowa\u0107 tr\u00f3jk\u0105t z trzech dowolnych odcink\u00f3w? 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