Pertanyaan

Diketahui segitiga PQR dengan sudut P = 60°, sudut Q = 45° dan QR=10 cm hitunglah panjang PR!

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Jawaban terverifikasi

Pembahasan

Perhatikan gambar berikut! Berdasarkan aturan sinus, maka Jadi, panjang PR adalah .

Perhatikan gambar berikut!

Berdasarkan aturan sinus, maka

$table attributes columnalign right center left columnspacing 0px end attributes row cell fraction numerator straight p over denominator sin space straight P end fraction end cell equals cell fraction numerator straight q over denominator sin space straight Q end fraction end cell row cell fraction numerator QR over denominator sin space straight P end fraction end cell equals cell fraction numerator PR over denominator sin space straight Q end fraction end cell row cell fraction numerator 10 over denominator sin space 60 degree end fraction end cell equals cell fraction numerator PR over denominator sin space 45 degree end fraction end cell row cell fraction numerator 10 over denominator begin display style 1 half end style square root of 3 end fraction end cell equals cell fraction numerator PR over denominator 1 half square root of 2 end fraction end cell row cell 1 half square root of 3 cross times PR end cell equals cell 10 cross times 1 half square root of 2 end cell row PR equals cell fraction numerator 10 cross times 1 half square root of 2 over denominator 1 half square root of 3 end fraction end cell row PR equals cell fraction numerator 10 square root of 2 over denominator square root of 3 end fraction cross times fraction numerator square root of 3 over denominator square root of 3 end fraction end cell row PR equals cell 10 over 3 square root of 6 space cm end cell end table$

Jadi, panjang PR adalah 10 over 3 square root of 6 cm .