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Perhatikan gambar segitiga ABC berikut! Panjang...

Perhatikan gambar segitiga ABC berikut!

Panjang AC adalah ... cm.

  1. begin mathsize 14px style 15 square root of 3 end style 

  2. begin mathsize 14px style 15 square root of 2 end style 

  3. begin mathsize 14px style 10 square root of 6 end style 

  4. begin mathsize 14px style 10 square root of 3 end style 

  5. begin mathsize 14px style 20 square root of 6 end style 

Jawaban:

Menggunakan aturan sinus, diperoleh

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell fraction numerator BC over denominator sin open parentheses angle A close parentheses end fraction end cell equals cell fraction numerator AC over denominator sin open parentheses angle B close parentheses end fraction end cell row cell fraction numerator 30 over denominator sin open parentheses 60 degree close parentheses end fraction end cell equals cell fraction numerator AC over denominator sin open parentheses 45 degree close parentheses end fraction end cell row cell fraction numerator 30 over denominator begin display style 1 half end style square root of 3 end fraction end cell equals cell fraction numerator AC over denominator begin display style 1 half end style square root of 2 end fraction end cell row cell fraction numerator 30 over denominator begin display style 1 half square root of 3 end style end fraction cross times 1 half square root of 2 end cell equals cell fraction numerator AC over denominator begin display style 1 half square root of 2 end style end fraction cross times 1 half square root of 2 end cell row cell fraction numerator 30 square root of 2 over denominator square root of 3 end fraction end cell equals AC row cell fraction numerator 30 square root of 2 over denominator square root of 3 end fraction cross times fraction numerator square root of 3 over denominator square root of 3 end fraction end cell equals AC row cell fraction numerator 30 square root of 6 over denominator 3 end fraction end cell equals AC row cell 10 square root of 6 end cell equals cell straight A C end cell end table end style

Jadi, jawaban yang tepat adalah C.undefined 

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