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Perhatikan gambar berikut!  Carilah ukuran sudut BAC, panjang b, panjang c!

Pertanyaan

Perhatikan gambar berikut!space 

Carilah ukuran sudut BAC, panjang b, panjang c!space 

Pembahasan Soal:

Diketahui : angle straight C equals 75 degreeangle straight B equals 50 degreestraight a equals 35 space cm 

Jumlah sudut dalam segitiga adalah 180 degree maka

table attributes columnalign right center left columnspacing 0px end attributes row cell angle BAC end cell equals cell 180 degree minus left parenthesis angle straight C plus angle straight B right parenthesis end cell row blank equals cell 180 minus left parenthesis 75 plus 50 right parenthesis end cell row blank equals cell 180 minus 125 end cell row blank equals cell 55 degree end cell end table 

Dengan menggunakan aturan sinus perbandingan sisi maka space 

table attributes columnalign right center left columnspacing 0px end attributes row cell fraction numerator straight b over denominator sin space straight B end fraction end cell equals cell fraction numerator straight a over denominator sin space straight A end fraction end cell row straight b equals cell fraction numerator straight a space sin space straight B over denominator sin space straight A end fraction end cell row straight b equals cell fraction numerator 35 space sin space 50 degree over denominator sin space 55 degree end fraction end cell row straight b equals cell fraction numerator 35 cross times 0 comma 76 over denominator 0 comma 81 end fraction end cell row blank equals cell fraction numerator 26 comma 6 over denominator 0 comma 81 end fraction end cell row blank equals cell 32 comma 83 end cell end table  

table attributes columnalign right center left columnspacing 0px end attributes row cell fraction numerator straight c over denominator sin space straight C end fraction end cell equals cell fraction numerator straight a over denominator sin space straight A end fraction end cell row straight c equals cell fraction numerator straight a space sin space straight C over denominator sin space straight A end fraction end cell row straight c equals cell fraction numerator 35 space sin space 75 degree over denominator sin space 55 end fraction end cell row straight c equals cell fraction numerator 35 cross times 0 comma 96 over denominator 0 comma 81 end fraction end cell row straight c equals cell fraction numerator 33 comma 6 over denominator 0 comma 81 end fraction end cell row straight c equals cell 41 comma 48 end cell end table 

Jad, ukuran sudut BAC, panjang b, panjang c berturut-turut adalah 55 degree32 comma 83 space cm, dan 41 comma 81 space cm 

Pembahasan terverifikasi oleh Roboguru

Terakhir diupdate 04 Juni 2021

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