{"id":96359,"date":"2024-06-22T11:50:53","date_gmt":"2024-06-22T11:50:53","guid":{"rendered":"https:\/\/www.omahbse.com\/blog\/?p=96359"},"modified":"2024-06-22T11:50:53","modified_gmt":"2024-06-22T11:50:53","slug":"apa-itu-jarak-antara-dua-titik-dalam-koordinat-kartesius","status":"publish","type":"post","link":"https:\/\/www.omahbse.com\/blog\/apa-itu-jarak-antara-dua-titik-dalam-koordinat-kartesius\/","title":{"rendered":"Apa itu jarak antara dua titik dalam koordinat kartesius?"},"content":{"rendered":"

Apa itu jarak antara dua titik dalam koordinat kartesius? Jarak antara dua titik dalam koordinat kartesius adalah ukuran perbedaan posisi antara dua titik di bidang datar. Dalam artikel ini, kita akan membahas cara menghitung jarak antara dua titik menggunakan rumus yang sederhana dan contoh penggunaannya.<\/p>\n

Penjelasan dan Jawaban<\/h2>\n

Jarak antara dua titik dalam koordinat kartesius dapat dihitung menggunakan rumus jarak Euclidean. Rumus ini diperoleh dengan menerapkan konsep teorema Pythagoras.<\/p>\n

Rumus jarak antara dua titik (x1, y1) dan (x2, y2) adalah:<\/p>\n

d = \u221a[(x2 – x1)2<\/sup> + (y2 – y1)2<\/sup>]<\/strong><\/p>\n

Contohnya, kita ingin menghitung jarak antara titik A(3, 4) dan titik B(7, 2). Dengan menggunakan rumus di atas, kita dapat menggantikan nilai x1=3, y1=4, x2=7, dan y2=2 pada rumus tersebut:<\/p>\n

d = \u221a[(7 – 3)2<\/sup> + (2 – 4)2<\/sup>]<\/p>\n

d = \u221a[42<\/sup> + (-2)2<\/sup>]<\/p>\n

d = \u221a[16 + 4]<\/p>\n

d = \u221a20<\/p>\n

d = 4.4<\/p>\n

Jadi, jarak antara titik A(3, 4) dan titik B(7, 2) adalah 4.4 satuan.<\/p>\n

Kesimpulan<\/h2>\n

Jarak antara dua titik dalam koordinat kartesius dapat dihitung menggunakan rumus jarak Euclidean yaitu d = \u221a[(x2 – x1)2<\/sup> + (y2 – y1)2<\/sup>]. Dengan rumus ini, kita dapat menentukan panjang garis lurus yang menghubungkan dua titik pada bidang kartesius. Proses perhitungan jarak ini juga dapat diaplikasikan pada berbagai macam matematika dan ilmu pengetahuan lainnya.<\/p>\n","protected":false},"excerpt":{"rendered":"

Apa itu jarak antara dua titik dalam koordinat kartesius? Jarak antara dua titik dalam koordinat kartesius adalah ukuran perbedaan posisi antara dua titik di bidang datar. Dalam artikel ini, kita akan membahas cara menghitung jarak antara dua titik menggunakan rumus yang sederhana dan contoh penggunaannya. Penjelasan dan Jawaban Jarak antara dua titik dalam koordinat kartesius […]<\/p>\n","protected":false},"author":1,"featured_media":96356,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[302,1992,1976,1988],"tags":[],"class_list":{"0":"post-96359","1":"post","2":"type-post","3":"status-publish","4":"format-standard","5":"has-post-thumbnail","7":"category-matematika","8":"category-matematika-smp","9":"category-sekolah","10":"category-smp"},"yoast_head":"\nApa itu jarak antara dua titik dalam koordinat kartesius? - OmahBSE<\/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.omahbse.com\/blog\/apa-itu-jarak-antara-dua-titik-dalam-koordinat-kartesius\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Apa itu jarak antara dua titik dalam koordinat kartesius? - OmahBSE\" \/>\n<meta property=\"og:description\" content=\"Apa itu jarak antara dua titik dalam koordinat kartesius? Jarak antara dua titik dalam koordinat kartesius adalah ukuran perbedaan posisi antara dua titik di bidang datar. Dalam artikel ini, kita akan membahas cara menghitung jarak antara dua titik menggunakan rumus yang sederhana dan contoh penggunaannya. 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