Pertanyaan

Perhatikan segitiga ABC siku-siku di A seperti gambar berikut! Hitunglah panjang garis BC dan AC!

Perhatikan segitiga ABC siku-siku di A seperti gambar berikut!

Hitunglah panjang garis BC dan AC! $\;$

D. Entry

Master Teacher

Jawaban terverifikasi

Jawaban

panjang garis , dan garis .

panjang garis B C equals 8 space cm

, dan garis A C equals 4 square root of 3 space cm

Pembahasan

Perhatikan gambar Mencari panjang garis BC : Mencari panjang garis AC: Jadi panjang garis , dan garis .

Perhatikan gambar

Mencari panjang garis BC:

$table attributes columnalign right center left columnspacing 0px end attributes row cell sin space 30 to the power of ring operator end cell equals cell fraction numerator A B over denominator B C end fraction end cell row cell 1 half end cell equals cell fraction numerator 4 over denominator B C end fraction end cell row cell B C end cell equals cell 2 times 4 end cell row cell B C end cell equals cell 8 space cm end cell end table$

Mencari panjang garis AC:

$table attributes columnalign right center left columnspacing 0px end attributes row cell tan space 30 to the power of ring operator end cell equals cell fraction numerator A B over denominator A C end fraction end cell row cell fraction numerator 1 over denominator square root of 3 end fraction end cell equals cell fraction numerator 4 over denominator A C end fraction end cell row cell A C end cell equals cell 4 square root of 3 space cm end cell end table$

Jadi panjang garis B C equals 8 space cm , dan garis A C equals 4 square root of 3 space cm .