Panjang sisi , dari segitiga di atas adalah …

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PERTANYAAN :


Perhatikan gambar berikut ini!

Panjang sisi x dari segitiga di atas adalah …

Jawaban

panjang sisi x pada gambar segitiga tersebut adalah 2 square root of 7 space cm.


Pembahasan

Diketahui sebuah segitiga dengan sisi 4 space cm, 6 space cm dan besar sudut yang diapit oleh kedua sisi tersebut adalah 60 degree.

Ingat!

Aturan cosinus pada segitiga:

c squared equals a squared plus b squared minus 2 a b space cos space C 

Diperoleh:

table attributes columnalign right center left columnspacing 0px end attributes row cell c squared end cell equals cell a squared plus b squared minus 2 a b space cos space C end cell row cell x squared end cell equals cell 4 squared plus 6 squared minus 2 left parenthesis 4 right parenthesis left parenthesis 6 right parenthesis space cos space 60 degree end cell row blank equals cell 4 squared plus 6 squared minus 2 left parenthesis 4 right parenthesis left parenthesis 6 right parenthesis open parentheses 1 half close parentheses end cell row blank equals cell 16 plus 36 minus 24 end cell row blank equals 28 row blank blank blank row x equals cell plus-or-minus square root of 28 end cell row blank equals cell plus-or-minus 2 square root of 7 space cm end cell end table 

Karena panjang sisi segitiga tidak mungkin negatif, maka yang memenuhi adalah x equals 2 square root of 7 space cm.

Jadi, panjang sisi x pada gambar segitiga tersebut adalah 2 square root of 7 space cm.

Baca Juga :  The development of good character should be the heart and soul of education, and should dominate the spirit of teaching. This was the philosophy of the "Father of Education" in Indonesia, Ki Hajar Dewantara. The reason, he said, was that teaching and character building are like two sides of a coin and cannot, and should not be separated., Education, by definition, means guiding student lives in a strong foundation of good character, so that they would be civilized humans of highest moral fibre, thus laying the foundation of a great nation without distinction of religion, ethnicity, customs, economic and social status., Ki Hajar Dewantara was born in the royal family of Yogyakarta on 2, May 1889. His given name was Raden Mas Suwardi Suryaningrat which he later changed to renounce his connections with the royal family. He transformed himself into an activist, columnist, politician and pioneer of education for Indonesians. He fought for the rights of Indonesians during the· Dutch and Japanese colonial eras , " He was born into an aristocratic family that granted him the privilege of free access to education of his choice. He got his primary education from ELS (Europeesche Lagere School), then he continued his education at Stovia (Java Medical School) but, due to health reasons, he couldnt finish it. He started writing for newspapers and eventually all his writings were focused on Indonesian patriotism, thus anti Dutch. He was involved in the early activities of ", and the lndiesche Party, which were both important in the early development of the , , the "movement" that grew up with an ascent of Indonesian national political consciousness , He was exiled between 1913 and 1919, following the publication of two of his articles: , (If I ware a Dutchman) and , (One for all and all for one). He used his time in exile to learn more about education and obtained a Europeesche certificate , Following his return, he focused more on cultural and educational efforts paving the way to develop educational concepts in Indonesia. He believed that education is very important and the most important means of freeing Indonesians from the clutches of colonization. He played a leading role in establishing , in 1922. This institution was established to educate native Indonesians during colonial times. This institution was based on these principles:, 1., (the one in front sets examples)., 2., (the one in the middle builds the spirit and encouragement)., 3., (the one at the back gives support)., , " As Ki Hajar believed that character was not merely a theoretical concept, but a practical and living concept, he embodied his vision in his school, Taman Siswa. The central goals of Taman Siswa emphasized character building, including traits such as patriotism and love for the nation, and a sense of national identity. His vision was that Indonesians would be free from colonial powers, to fight for independenceand have good character. He continued writing but his writings took a turn from politics to education. These writings later laid the foundation of Indonesian education. Froebel, Montessori and Tagore influenced his educational principles and, in Taman Siswa, he drew some inspiration from Tagores Shantiniketan ", After independence, he was given the office of Minister of Education and Culture. For his efforts in pioneering education for the masses, he was officially declared Father of Indonesian Education and his birthday is celebrated as the National Education Day. His portrait was on the 20,000 rupiah note till 2002. He was officially confirmed as a National Hero of Indonesia by the 2, President of Indonesia on 28, November 1959 , Ki Hajar Dewantara passed away on 26, " April 1952 at the age of 69 years. His wife donated all Ki Hajars belongings to Dewantara Kirti Griya Museum, Yogyakarta. He was a great man who spent his whole life serving his people and country."


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