Pertanyaan

Diketahui segitiga ABC siku-siku di A dengan panjang sisi A B = 6 cm . Jika ∠ BC A = 3 0 ∘ . Tentukan panjang BC dan AC !

Diketahui segitiga ABC siku-siku di A dengan panjang sisi $A B = 6 cm$ . Jika $∠ BC A = 3 0^{\circ}$ . Tentukan panjang BC dan AC!

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Habis dalam

Klaim

Y. Herlanda

Master Teacher

Mahasiswa/Alumni STKIP PGRI Jombang

Jawaban terverifikasi

Jawaban

panjang .

panjang

B C equals 4 square root of 3 space cm comma space A C equals 2 square root of 3 space cm

Pembahasan

Menentukan panjang BC Menentukan panjang AC Jadi, panjang .

Menentukan panjang BC

$table attributes columnalign right center left columnspacing 0px end attributes row cell cos space 30 degree end cell equals cell fraction numerator A B over denominator B C end fraction end cell row cell 1 half square root of 3 end cell equals cell fraction numerator 6 over denominator B C end fraction end cell row cell B C end cell equals cell 6 cross times fraction numerator 2 over denominator square root of 3 end fraction end cell row blank equals cell fraction numerator 12 over denominator square root of 3 end fraction cross times fraction numerator square root of 3 over denominator square root of 3 end fraction end cell row blank equals cell 12 over 3 square root of 3 end cell row blank equals cell 4 square root of 3 space cm end cell end table$

Menentukan panjang AC

$table attributes columnalign right center left columnspacing 0px end attributes row cell tan space 30 degree end cell equals cell fraction numerator A C over denominator A B end fraction end cell row cell 1 third square root of 3 end cell equals cell fraction numerator A C over denominator 6 end fraction end cell row cell A C end cell equals cell 2 square root of 3 space cm end cell end table$

Jadi, panjang B C equals 4 square root of 3 space cm comma space A C equals 2 square root of 3 space cm .