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Jika diketahui segitiga ABC, dengan ukuran panjang sisi c = 20 , besar ∠ A = 3 5 ∘ dan besar ∠ B = 4 0 ∘ . Hitungpanjang sisi a dan b !

Jika diketahui segitiga ABC, dengan ukuran panjang sisi $c = 20$ , besar $∠ A = 3 5^{\circ}$ dan besar $∠ B = 4 0^{\circ}$ . Hitung panjang sisi $a$ dan $b$ !

F. Ayudhita

Master Teacher

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Pembahasan

Mencari besar sudut : Dengan aturan sinus,panjang sisi : Dengan aturan sinus,panjang sisi :

Mencari besar sudut :

Dengan aturan sinus, panjang sisi :

$begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell fraction numerator a over denominator sin space A end fraction end cell equals cell fraction numerator c over denominator sin space C end fraction end cell row a equals cell fraction numerator c over denominator sin space C end fraction cross times sin space A end cell row a equals cell fraction numerator 20 over denominator sin space 105 to the power of ring operator end fraction cross times sin space 35 to the power of ring operator end cell end table end style$

Dengan aturan sinus, panjang sisi :

$table attributes columnalign right center left columnspacing 0px end attributes row cell fraction numerator b over denominator size 14px sin size 14px space size 14px B end fraction end cell size 14px equals cell fraction numerator size 14px c over denominator size 14px sin size 14px space size 14px C end fraction end cell row b size 14px equals cell fraction numerator size 14px c over denominator size 14px sin size 14px space size 14px C end fraction size 14px cross times size 14px sin size 14px space size 14px B end cell row b size 14px equals cell fraction numerator size 14px 20 over denominator size 14px sin size 14px space size 14px 105 to the power of size 14px ring operator end fraction size 14px cross times size 14px sin size 14px space size 14px 40 to the power of size 14px ring operator end cell end table$