Pertanyaan

Perhatikan gambar berikut. Nilai a pada gambar berikut adalah....

Perhatikan gambar berikut.

Nilai $a$ pada gambar berikut adalah....

F. Ayudhita

Master Teacher

Jawaban terverifikasi

Pembahasan

Rumus aturan Sinus : Sehingga nilai yaitu : maka jawaban yang benar adalah E

Rumus aturan Sinus :

$begin mathsize 14px style fraction numerator a over denominator sin open parentheses A close parentheses end fraction equals fraction numerator b over denominator sin left parenthesis B right parenthesis end fraction equals fraction numerator c over denominator sin left parenthesis C right parenthesis end fraction end style$

Sehingga nilai yaitu :

$begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell fraction numerator AC over denominator sin space B end fraction end cell equals cell fraction numerator BC over denominator sin space A end fraction end cell row cell fraction numerator a plus 1 over denominator sin space 30 degree end fraction end cell equals cell fraction numerator a minus 1 over denominator sin space 45 degree end fraction end cell row cell fraction numerator a plus 1 over denominator 1 half end fraction end cell equals cell fraction numerator a minus 1 over denominator 1 half square root of 2 end fraction end cell row cell square root of 2 blank open parentheses a plus 1 close parentheses end cell equals cell a minus 1 end cell row cell square root of 2 a plus square root of 2 end cell equals cell a minus 1 end cell row cell square root of 2 a minus a end cell equals cell negative 1 minus square root of 2 end cell row cell a open parentheses square root of 2 minus 1 close parentheses end cell equals cell negative 1 minus square root of 2 end cell row a equals cell fraction numerator negative 1 minus square root of 2 over denominator square root of 2 minus 1 end fraction end cell row a equals cell fraction numerator negative 1 minus square root of 2 over denominator square root of 2 minus 1 end fraction cross times fraction numerator square root of 2 plus 1 over denominator square root of 2 plus 1 end fraction end cell row a equals cell fraction numerator negative square root of 2 minus 1 minus 2 minus square root of 2 over denominator 2 plus square root of 2 minus square root of 2 minus 1 end fraction end cell row a equals cell negative 3 minus 2 square root of 2 end cell end table end style$

maka jawaban yang benar adalah E