Pertanyaan

Perhatikan gambar di bawah ini! Jika diketahui △ A B D siku-siku di A dan △ BC D siku-siku di C . Tentukan panjang CD !

Perhatikan gambar di bawah ini!

Jika diketahui $△ A B D$ siku-siku di A dan $△ BC D$ siku-siku di C. Tentukan panjang CD!

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Habis dalam

Klaim

N. Puspita

Master Teacher

Jawaban terverifikasi

Jawaban

panjang .

panjang

Pembahasan

Mencari panjang sisi Mencari panjang Jadi, panjang .

Mencari panjang sisi

$table attributes columnalign right center left columnspacing 0px end attributes row cell fraction numerator BD over denominator sin space 90 to the power of degree end fraction end cell equals cell fraction numerator AB over denominator sin space 45 degree end fraction end cell row cell BD over 1 end cell equals cell fraction numerator 8 space over denominator begin display style 1 half end style square root of 2 end fraction end cell row BD equals cell 8 space cross times fraction numerator 2 over denominator square root of 2 end fraction end cell row BD equals cell fraction numerator 16 space over denominator square root of 2 end fraction cross times fraction numerator square root of 2 over denominator square root of 2 end fraction end cell row BD equals cell fraction numerator 16 space over denominator 2 end fraction square root of 2 end cell row BD equals cell 8 square root of 2 space cm end cell end table$

Mencari panjang

$table attributes columnalign right center left columnspacing 0px end attributes row cell fraction numerator CD over denominator sin space 30 to the power of degree end fraction end cell equals cell fraction numerator BD over denominator sin space 90 to the power of degree end fraction end cell row cell fraction numerator CD over denominator begin display style bevelled 1 half end style end fraction end cell equals cell fraction numerator 8 square root of 2 over denominator 1 end fraction end cell row cell fraction numerator CD over denominator begin display style up diagonal strike bevelled 1 half end strike end style end fraction times up diagonal strike bevelled 1 half end strike end cell equals cell fraction numerator 8 square root of 2 over denominator 1 end fraction times 1 half end cell row CD equals cell 4 square root of 2 space cm end cell end table$

Jadi, panjang CD equals 4 square root of 2 space cm .