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Perhatikan gambar berikut Panjang sisi BC=...

Pertanyaan

Perhatikan gambar berikut

Panjang sisi begin mathsize 14px style BC equals end style...

  1. begin mathsize 14px style 4 square root of 26 space cm end style 

  2. begin mathsize 14px style 2 square root of 26 space cm end style 

  3. begin mathsize 14px style 4 square root of 13 space cm end style 

  4. undefined 

  5. begin mathsize 14px style square root of 13 space cm end style 

S. Yoga

Master Teacher

Mahasiswa/Alumni Universitas Pendidikan Indonesia

Jawaban terverifikasi

Jawaban

jawaban yang tepat adalah C.

Pembahasan

Untuk mengetahui panjang sisi BC, dapat menggunakan Aturan sinus dan Aturan cosinus

  • Aturan Sinus

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell fraction numerator BD over denominator sin invisible function application straight A end fraction end cell equals cell fraction numerator AD over denominator sin invisible function application straight B end fraction end cell row cell fraction numerator BD over denominator sin invisible function application 45 degree end fraction end cell equals cell fraction numerator AD over denominator sin invisible function application 30 degree end fraction end cell row cell fraction numerator BD over denominator 1 half square root of 2 end fraction end cell equals cell fraction numerator 6 over denominator 1 half end fraction end cell row cell fraction numerator 2 BD over denominator square root of 2 end fraction end cell equals 12 row BD equals cell fraction numerator 12 over denominator square root of 2 end fraction end cell row BD equals cell 6 square root of 2 space cm end cell end table end style 

  • Aturan Cosinus

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell BC squared end cell equals cell BD squared plus CD squared minus 2 cross times BD cross times CD cross times cos invisible function application straight D end cell row cell BC squared end cell equals cell left parenthesis 6 square root of 2 right parenthesis squared plus left parenthesis 10 right parenthesis squared minus 2 cross times left parenthesis 6 square root of 2 right parenthesis cross times left parenthesis 10 right parenthesis cross times cos invisible function application 45 degree end cell row cell BC squared end cell equals cell 72 plus 100 minus 120 square root of 2 cross times fraction numerator square root of 2 over denominator 2 end fraction end cell row cell BC squared end cell equals cell 172 minus 120 end cell row cell BC squared end cell equals 52 row BC equals cell square root of 52 blank cm end cell row BC equals cell 2 square root of 13 cm end cell end table end style 

Sehingga panjang sisi BC adalah begin mathsize 14px style 2 square root of 13 space cm end style 

Jadi, jawaban yang tepat adalah C.

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