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Pada segitiga PQR panjang sisi PQ = 12 cm , ∠ P = 3 0 ∘ , dan ∠ R = 4 5 ∘ . Panjang sisi QR adalah ...

$Pada segitiga PQR panjang sisi PQ = 12 cm, ∠ P = 3 0^{\circ}, dan ∠ R = 4 5^{\circ} . Panjang sisi QR adalah ...$

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H. Nufus

Master Teacher

Mahasiswa/Alumni Universitas Negeri Surabaya

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$fraction numerator QR over denominator sin space straight P end fraction equals fraction numerator PQ over denominator sin begin display style space end style begin display style straight R end style end fraction fraction numerator begin display style QR end style over denominator begin display style sin space 30 degree end style end fraction equals fraction numerator begin display style 12 end style over denominator begin display style sin space 45 degree end style end fraction fraction numerator begin display style QR end style over denominator begin display style fraction numerator begin display style 1 end style over denominator 2 end fraction end style end fraction equals fraction numerator begin display style 12 end style over denominator begin display style 1 half square root of 2 end style end fraction QR square root of 2 equals 12 QR equals fraction numerator 12 over denominator square root of 2 end fraction straight x fraction numerator square root of 2 over denominator square root of 2 end fraction equals fraction numerator 12 square root of 2 over denominator 2 end fraction equals 6 square root of 2$