{"id":1215,"date":"2023-10-01T23:58:57","date_gmt":"2023-10-01T23:58:57","guid":{"rendered":"https:\/\/www.matematikazavsicki.com\/tr\/?p=1215"},"modified":"2023-10-01T23:58:58","modified_gmt":"2023-10-01T23:58:58","slug":"pisagor-teoremi","status":"publish","type":"post","link":"https:\/\/www.matematikazavsicki.com\/tr\/pisagor-teoremi\/","title":{"rendered":"Pisagor Teoremi"},"content":{"rendered":"\n<p class=\"wp-block-paragraph\">Pisagor teoremi matemati\u011fin en \u00fcnl\u00fc teoremlerinden biridir. Bu teorem matemati\u011fin bir\u00e7ok farkl\u0131 b\u00f6l\u00fcm\u00fcnde ve bir\u00e7ok farkl\u0131 geometrik problemde ge\u00e7erlidir. Pisagor teoremi yaln\u0131zca dik \u00fc\u00e7gen i\u00e7in ge\u00e7erlidir. Pisagor teoreminin tan\u0131m\u0131: Bir dik \u00fc\u00e7gende hipoten\u00fcs \u00fczerinde olu\u015fan kare, bu karenin kenarlar\u0131 \u00fczerindeki karelerin alanlar\u0131n\u0131n toplam\u0131 ile ayn\u0131 alana sahiptir.<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"250\" height=\"260\" src=\"https:\/\/www.matematikazavsicki.com\/tr\/wp-content\/uploads\/2023\/10\/Pisagor-teoreminin-anlaminin-bir-aciklamasi.jpg\" alt=\"Pisagor teoreminin anlam\u0131n\u0131n bir a\u00e7\u0131klamas\u0131\" class=\"wp-image-1218\"\/><\/figure>\n<\/div>\n\n\n<p class=\"wp-block-paragraph\">Hipoten\u00fcs dik \u00fc\u00e7gende en uzun kenard\u0131r ve her zaman dik a\u00e7\u0131n\u0131n kar\u015f\u0131s\u0131ndad\u0131r. Hipoten\u00fcs her zaman c harfiyle (k\u00fc\u00e7\u00fck Latin harfi c) g\u00f6sterilir. Dik \u00fc\u00e7genin dik a\u00e7\u0131y\u0131 olu\u015fturan di\u011fer iki kenar\u0131na bacak denir. Sa\u011f \u00fc\u00e7gendeki bacaklar a ve b harfleriyle g\u00f6sterilir (a ve b k\u00fc\u00e7\u00fck Latin harfleridir).<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">Pisagor Teoremi Form\u00fcl\u00fc<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">Pisagor teoremini temsil eden form\u00fcl \u015fu \u015fekildedir:<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.matematikazavsicki.com\/tr\/wp-content\/uploads\/2023\/10\/Pisagor-teoremi-formulu.jpg\" alt=\"Pisagor teoremi form\u00fcl\u00fc\" class=\"wp-image-1221\" style=\"width:228px;height:61px\" width=\"228\" height=\"61\" srcset=\"https:\/\/www.matematikazavsicki.com\/tr\/wp-content\/uploads\/2023\/10\/Pisagor-teoremi-formulu.jpg 346w, https:\/\/www.matematikazavsicki.com\/tr\/wp-content\/uploads\/2023\/10\/Pisagor-teoremi-formulu-300x81.jpg 300w\" sizes=\"auto, (max-width: 228px) 100vw, 228px\" \/><\/figure>\n<\/div>\n\n\n<p class=\"wp-block-paragraph\">Mant\u0131ksal olarak, e\u011fer bir dik \u00fc\u00e7genin iki baca\u011f\u0131 biliniyorsa, hipoten\u00fcs uzunlu\u011fu do\u011frudan belirlenebilir.<\/p>\n\n\n\n<p class=\"has-vivid-purple-color has-text-color wp-block-paragraph\">\u00d6rnek 1: Bir dik \u00fc\u00e7genin kenar uzunluklar\u0131 9 cm ve 40 cm&#8217;dir. Hipoten\u00fcs uzunlu\u011funu bulun!<\/p>\n\n\n\n<p class=\"has-vivid-purple-color has-text-color wp-block-paragraph\">Ana form\u00fclde bacaklar i\u00e7in verilen de\u011ferlerin de\u011fi\u015ftirilmesiyle ifade elde edilir:<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.matematikazavsicki.com\/tr\/wp-content\/uploads\/2023\/10\/Pisagor-teoremini-hesaplamak-icin-formul.jpg\" alt=\"Pisagor teoremini hesaplamak i\u00e7in form\u00fcl\" class=\"wp-image-1223\" style=\"width:342px;height:55px\" width=\"342\" height=\"55\" srcset=\"https:\/\/www.matematikazavsicki.com\/tr\/wp-content\/uploads\/2023\/10\/Pisagor-teoremini-hesaplamak-icin-formul.jpg 500w, https:\/\/www.matematikazavsicki.com\/tr\/wp-content\/uploads\/2023\/10\/Pisagor-teoremini-hesaplamak-icin-formul-300x49.jpg 300w\" sizes=\"auto, (max-width: 342px) 100vw, 342px\" \/><\/figure>\n<\/div>\n\n\n<p class=\"has-vivid-purple-color has-text-color wp-block-paragraph\">Mezun olduktan sonra nereden \u015funlar\u0131 al\u0131rs\u0131n\u0131z:<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.matematikazavsicki.com\/tr\/wp-content\/uploads\/2023\/10\/Pisagor-teoremine-gore-hesaplama.jpg\" alt=\"Pisagor teoremine g\u00f6re hesaplama\" class=\"wp-image-1225\" style=\"width:338px;height:55px\" width=\"338\" height=\"55\" srcset=\"https:\/\/www.matematikazavsicki.com\/tr\/wp-content\/uploads\/2023\/10\/Pisagor-teoremine-gore-hesaplama.jpg 500w, https:\/\/www.matematikazavsicki.com\/tr\/wp-content\/uploads\/2023\/10\/Pisagor-teoremine-gore-hesaplama-300x49.jpg 300w\" sizes=\"auto, (max-width: 338px) 100vw, 338px\" \/><\/figure>\n<\/div>\n\n\n<p class=\"has-vivid-purple-color has-text-color wp-block-paragraph\">Toplam\u0131 olu\u015fturduktan sonra \u015fu elde edilir:<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.matematikazavsicki.com\/tr\/wp-content\/uploads\/2023\/10\/Hipotenusun-karesinin-belirlenmesi.jpg\" alt=\"Hipoten\u00fcs\u00fcn karesinin belirlenmesi\" class=\"wp-image-1227\" style=\"width:210px;height:52px\" width=\"210\" height=\"52\" srcset=\"https:\/\/www.matematikazavsicki.com\/tr\/wp-content\/uploads\/2023\/10\/Hipotenusun-karesinin-belirlenmesi.jpg 362w, https:\/\/www.matematikazavsicki.com\/tr\/wp-content\/uploads\/2023\/10\/Hipotenusun-karesinin-belirlenmesi-300x75.jpg 300w\" sizes=\"auto, (max-width: 210px) 100vw, 210px\" \/><\/figure>\n<\/div>\n\n\n<p class=\"has-vivid-purple-color has-text-color wp-block-paragraph\">Son ifadeyle hipoten\u00fcs\u00fcn uzunlu\u011funun karesinin ne kadar oldu\u011funu biliyoruz. Hipoten\u00fcs\u00fcn uzunlu\u011funu belirlemek i\u00e7in ifadenin tamam\u0131n\u0131 k\u00f6klendiriyoruz:<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.matematikazavsicki.com\/tr\/wp-content\/uploads\/2023\/10\/Hipotenus-hesaplamasi.jpg\" alt=\"Hipoten\u00fcs hesaplamas\u0131\" class=\"wp-image-1230\" style=\"width:238px;height:65px\" width=\"238\" height=\"65\" srcset=\"https:\/\/www.matematikazavsicki.com\/tr\/wp-content\/uploads\/2023\/10\/Hipotenus-hesaplamasi.jpg 394w, https:\/\/www.matematikazavsicki.com\/tr\/wp-content\/uploads\/2023\/10\/Hipotenus-hesaplamasi-300x81.jpg 300w\" sizes=\"auto, (max-width: 238px) 100vw, 238px\" \/><\/figure>\n<\/div>\n\n\n<p class=\"has-vivid-purple-color has-text-color wp-block-paragraph\">E\u015fittir i\u015faretinin sa\u011f\u0131ndaki k\u00f6k hesapland\u0131ktan sonra hipoten\u00fcs\u00fcn uzunlu\u011fu 41 cm olur.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Belirli bir problemde bacaklardan biri ve hipoten\u00fcs biliniyorsa, bilinmeyen bacak a\u015fa\u011f\u0131daki form\u00fcllerden biri kullan\u0131larak belirlenebilir:<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"62\" src=\"https:\/\/www.matematikazavsicki.com\/tr\/wp-content\/uploads\/2023\/10\/Pisagor-teoremini-kullanarak-bacagin-belirlenmesi.jpg\" alt=\"Pisagor teoremini kullanarak baca\u011f\u0131n belirlenmesi\" class=\"wp-image-1232\" srcset=\"https:\/\/www.matematikazavsicki.com\/tr\/wp-content\/uploads\/2023\/10\/Pisagor-teoremini-kullanarak-bacagin-belirlenmesi.jpg 500w, https:\/\/www.matematikazavsicki.com\/tr\/wp-content\/uploads\/2023\/10\/Pisagor-teoremini-kullanarak-bacagin-belirlenmesi-300x37.jpg 300w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/figure>\n<\/div>\n\n\n<p class=\"wp-block-paragraph\">Do\u011fru form\u00fcl\u00fcn (yukar\u0131daki iki renkli form\u00fclden) kullan\u0131lmas\u0131 yaln\u0131zca belirli bir durumda hangi baca\u011f\u0131n verildi\u011fine ve hangisinin bilinmedi\u011fine ba\u011fl\u0131d\u0131r.<\/p>\n\n\n\n<p class=\"has-vivid-red-color has-text-color wp-block-paragraph\">\u00d6rnek 2: Bir dik \u00fc\u00e7genin hipoten\u00fcs\u00fcn\u00fcn uzunlu\u011fu 25 cm&#8217;dir. Bacaklar\u0131ndan birinin uzunlu\u011fu 24 cm&#8217;dir. Bilinmeyen baca\u011f\u0131n uzunlu\u011funu belirleyin!<\/p>\n\n\n\n<p class=\"has-vivid-red-color has-text-color wp-block-paragraph\">Anla\u015fmaya g\u00f6re bilinen baca\u011f\u0131 a harfiyle, bilinmeyen baca\u011f\u0131 b harfiyle i\u015faretleyece\u011fimizi varsay\u0131yoruz. Bu durumda sar\u0131 form\u00fcl\u00fc kullan\u0131r\u0131z. \u0130\u00e7inde verilen de\u011ferleri de\u011fi\u015ftirerek ifade elde edilir:<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.matematikazavsicki.com\/tr\/wp-content\/uploads\/2023\/10\/Pisagor-teoremini-kullanarak-bilinmeyen-bir-bacagin-belirlenmesi.jpg\" alt=\"Pisagor teoremini kullanarak bilinmeyen bir baca\u011f\u0131n belirlenmesi\" class=\"wp-image-1234\" style=\"width:354px;height:52px\" width=\"354\" height=\"52\" srcset=\"https:\/\/www.matematikazavsicki.com\/tr\/wp-content\/uploads\/2023\/10\/Pisagor-teoremini-kullanarak-bilinmeyen-bir-bacagin-belirlenmesi.jpg 500w, https:\/\/www.matematikazavsicki.com\/tr\/wp-content\/uploads\/2023\/10\/Pisagor-teoremini-kullanarak-bilinmeyen-bir-bacagin-belirlenmesi-300x44.jpg 300w\" sizes=\"auto, (max-width: 354px) 100vw, 354px\" \/><\/figure>\n<\/div>\n\n\n<p class=\"has-vivid-red-color has-text-color wp-block-paragraph\">\u00f6l\u00e7eklendirmeden sonra \u015fu elde edilir:<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.matematikazavsicki.com\/tr\/wp-content\/uploads\/2023\/10\/Pisagor-teoremini-kullanarak-bilinmeyen.jpg\" alt=\"Pisagor teoremini kullanarak bilinmeyen\" class=\"wp-image-1236\" style=\"width:346px;height:48px\" width=\"346\" height=\"48\" srcset=\"https:\/\/www.matematikazavsicki.com\/tr\/wp-content\/uploads\/2023\/10\/Pisagor-teoremini-kullanarak-bilinmeyen.jpg 500w, https:\/\/www.matematikazavsicki.com\/tr\/wp-content\/uploads\/2023\/10\/Pisagor-teoremini-kullanarak-bilinmeyen-300x42.jpg 300w\" sizes=\"auto, (max-width: 346px) 100vw, 346px\" \/><\/figure>\n<\/div>\n\n\n<p class=\"has-vivid-red-color has-text-color wp-block-paragraph\">Fark\u0131 belirledikten sonra \u015funu elde ederiz:<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.matematikazavsicki.com\/tr\/wp-content\/uploads\/2023\/10\/Bir-bacagin-Pisagor-teoremi-karesi.jpg\" alt=\"Bir baca\u011f\u0131n Pisagor teoremi karesi\" class=\"wp-image-1238\" style=\"width:172px;height:50px\" width=\"172\" height=\"50\" srcset=\"https:\/\/www.matematikazavsicki.com\/tr\/wp-content\/uploads\/2023\/10\/Bir-bacagin-Pisagor-teoremi-karesi.jpg 308w, https:\/\/www.matematikazavsicki.com\/tr\/wp-content\/uploads\/2023\/10\/Bir-bacagin-Pisagor-teoremi-karesi-300x87.jpg 300w\" sizes=\"auto, (max-width: 172px) 100vw, 172px\" \/><\/figure>\n<\/div>\n\n\n<p class=\"has-vivid-red-color has-text-color wp-block-paragraph\">Son ifadeden bilinmeyen baca\u011f\u0131n uzunlu\u011funun karesinin ne kadar oldu\u011funu biliyoruz. Uzunlu\u011funu belirlemek i\u00e7in ifadenin tamam\u0131n\u0131 k\u00f6klendiriyoruz:<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.matematikazavsicki.com\/tr\/wp-content\/uploads\/2023\/10\/Bir-dik-ucgenin-bir-bacagi.jpg\" alt=\"Bir dik \u00fc\u00e7genin bir baca\u011f\u0131\" class=\"wp-image-1240\" style=\"width:166px;height:56px\" width=\"166\" height=\"56\" srcset=\"https:\/\/www.matematikazavsicki.com\/tr\/wp-content\/uploads\/2023\/10\/Bir-dik-ucgenin-bir-bacagi.jpg 334w, https:\/\/www.matematikazavsicki.com\/tr\/wp-content\/uploads\/2023\/10\/Bir-dik-ucgenin-bir-bacagi-300x101.jpg 300w\" sizes=\"auto, (max-width: 166px) 100vw, 166px\" \/><\/figure>\n<\/div>\n\n\n<p class=\"has-vivid-red-color has-text-color wp-block-paragraph\">Son olarak k\u00f6klenme sonras\u0131nda bilinmeyen baca\u011f\u0131n uzunlu\u011funun 7 cm oldu\u011funu tespit etmek kolayd\u0131r.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">Ba\u015fvuru<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">A\u015fa\u011f\u0131daki video Pisagor teoreminin do\u011frulu\u011funun g\u00f6rsel bir kan\u0131t\u0131n\u0131 i\u00e7ermektedir. Ayr\u0131ca i\u00e7inde \u00e7\u00f6z\u00fclm\u00fc\u015f g\u00f6revlere ili\u015fkin daha fazla \u00f6rnek g\u00f6rebilirsiniz.<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"526\" height=\"315\" src=\"https:\/\/www.matematikazavsicki.com\/tr\/wp-content\/uploads\/2023\/10\/Pisagor-Teoremi.jpg\" alt=\"Pisagor Teoremi\" class=\"wp-image-1242\" srcset=\"https:\/\/www.matematikazavsicki.com\/tr\/wp-content\/uploads\/2023\/10\/Pisagor-Teoremi.jpg 526w, https:\/\/www.matematikazavsicki.com\/tr\/wp-content\/uploads\/2023\/10\/Pisagor-Teoremi-300x180.jpg 300w\" sizes=\"auto, (max-width: 526px) 100vw, 526px\" \/><\/figure>\n<\/div>\n\n\n<p class=\"wp-block-paragraph\">Pisagor teoremi, bilinmeyen bir hipoten\u00fcs\u00fcn uzunlu\u011funun veya bir dik \u00fc\u00e7genin kenar\u0131n\u0131n do\u011frudan bununla belirlenebildi\u011fi durumlarda kullan\u0131l\u0131r. Elbette <a href=\"https:\/\/www.matematikazavsicki.com\/tr\/\">matematikte<\/a> bir dik \u00fc\u00e7gene geometrik bir cismin par\u00e7as\u0131, hayali uzay, bir binan\u0131n par\u00e7as\u0131 vb. olarak rastlamak m\u00fcmk\u00fcnd\u00fcr. Dik \u00fc\u00e7genin varl\u0131\u011f\u0131n\u0131n belirlenebildi\u011fi t\u00fcm yerlerde Pisagor teoremi kullan\u0131labilir.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Bu teoremin kullan\u0131m\u0131 \u00f6zellikle matematik &#8211; trigonometri alan\u0131nda \u00f6nemlidir.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Belirli bir dik \u00fc\u00e7gen i\u00e7in (yukar\u0131daki \u00e7\u00f6z\u00fclm\u00fc\u015f problemlerdeki dik \u00fc\u00e7genler gibi), kenarlar\u0131n\u0131n uzunluklar\u0131n\u0131n tam say\u0131 oldu\u011fu ortaya \u00e7\u0131karsa, bu t\u00fcr \u00fc\u00e7 say\u0131ya Pisagor \u00fc\u00e7l\u00fcleri denir. \u0130lk \u00e7\u00f6z\u00fclm\u00fc\u015f \u00f6rnekten 9, 40 ve 41 say\u0131lar\u0131n\u0131n bir Pisagor \u00fc\u00e7l\u00fcs\u00fc oldu\u011fu sonucuna var\u0131labilir. \u0130kinci \u00e7\u00f6z\u00fclm\u00fc\u015f \u00f6rnekten ayn\u0131 sonu\u00e7 7, 24 ve 25 say\u0131lar\u0131 i\u00e7in de \u00e7\u0131kar\u0131labilir.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Yukar\u0131da sunulan video birka\u00e7 Pisagor \u00fc\u00e7l\u00fcs\u00fcn\u00fcn bir listesini i\u00e7erir.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-css-opacity\"\/>\n\n\n<form role=\"search\" method=\"get\" action=\"https:\/\/www.matematikazavsicki.com\/tr\/\" class=\"wp-block-search__button-outside wp-block-search__icon-button wp-block-search\"    ><label class=\"wp-block-search__label\" for=\"wp-block-search__input-1\" >Gerekli malzemeyi kolayca bulun! 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Bu teorem matemati\u011fin bir\u00e7ok farkl\u0131 b\u00f6l\u00fcm\u00fcnde ve bir\u00e7ok farkl\u0131 geometrik problemde ge\u00e7erlidir. Pisagor teoremi yaln\u0131zca dik \u00fc\u00e7gen i\u00e7in ge\u00e7erlidir. Pisagor teoreminin tan\u0131m\u0131: Bir [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":1218,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[132,133,134,3,4,5,6,8],"tags":[342,341,125],"class_list":["post-1215","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-10-sinif-matematik","category-11-sinif-matematik","category-12-sinif-matematik","category-6-sinif-matematik","category-7-sinif-matematik","category-8-sinif-matematik","category-9-sinif-matematik","category-geometri","tag-pisagor","tag-pisagor-teoremi","tag-teoremi"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v26.5 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Pisagor Teoremi<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/www.matematikazavsicki.com\/tr\/pisagor-teoremi\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Pisagor Teoremi\" \/>\n<meta property=\"og:description\" content=\"Pisagor teoremi matemati\u011fin en \u00fcnl\u00fc teoremlerinden biridir. Bu teorem matemati\u011fin bir\u00e7ok farkl\u0131 b\u00f6l\u00fcm\u00fcnde ve bir\u00e7ok farkl\u0131 geometrik problemde ge\u00e7erlidir. Pisagor teoremi yaln\u0131zca dik \u00fc\u00e7gen i\u00e7in ge\u00e7erlidir. 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