Pertanyaan

Diketahui segitiga ABC dengan ∠ A = 6 0 ∘ , ∠ B = 4 5 ∘ dan panjang sisi BC = 12 cm . Tentukan panjang sisi AC!

Diketahui segitiga ABC dengan $∠ A = 6 0^{\circ}, ∠ B = 4 5^{\circ}$ dan panjang sisi $BC = 12 cm$ . Tentukan panjang sisi AC!

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Habis dalam

Klaim

Y. Herlanda

Master Teacher

Mahasiswa/Alumni STKIP PGRI Jombang

Jawaban terverifikasi

Jawaban

panjang .

panjang

Pembahasan

Menentukan panjang sisi AC menggunakan aturan sinus Jadi, panjang .

Menentukan panjang sisi AC menggunakan aturan sinus

$table attributes columnalign right center left columnspacing 0px end attributes row cell fraction numerator A over denominator sin space A end fraction end cell equals cell fraction numerator B over denominator sin space B end fraction end cell row cell fraction numerator B C over denominator sin space 60 degree end fraction end cell equals cell fraction numerator A C over denominator sin space 45 degree end fraction end cell row cell fraction numerator 12 over denominator begin display style 1 half end style square root of 3 end fraction end cell equals cell fraction numerator A C over denominator begin display style 1 half end style square root of 2 end fraction end cell row cell 1 half square root of 3 cross times A C end cell equals cell 6 square root of 2 end cell row cell A C end cell equals cell 6 square root of 2 cross times fraction numerator 2 over denominator square root of 3 end fraction end cell row blank equals cell fraction numerator 12 square root of 2 over denominator square root of 3 end fraction cross times fraction numerator square root of 3 over denominator square root of 3 end fraction end cell row blank equals cell fraction numerator 12 square root of 6 over denominator 3 end fraction end cell row blank equals cell 4 square root of 6 space cm end cell end table$

Jadi, panjang A C equals 4 square root of 6 space cm .