Pertanyaan

Perhatikan gambar di bawah ini ! Jika AB = 10 cm, maka panjang AC adalah ....

Perhatikan gambar di bawah ini !

Jika $AB = 10$ cm, maka panjang $AC$ adalah ....

W. Lestari

Master Teacher

Mahasiswa/Alumni Universitas Sriwijaya

Jawaban terverifikasi

Jawaban

jawaban yang benar adalah A.

Pembahasan

Ingat kembali: Dari gambar yang diberikan, perhatikan . Maka: Kemudian perhatikan , sehingga: Jadi, jawaban yang benar adalah A.

Ingat kembali:

Dari gambar yang diberikan, perhatikan increment BDA . Maka:

$table attributes columnalign right center left columnspacing 0px end attributes row cell sin space straight theta end cell equals cell fraction numerator sisi space depan over denominator sisi space miring end fraction end cell row cell sin space straight B end cell equals cell AD over AB end cell row cell sin space 60 degree end cell equals cell AD over 10 end cell row cell space space space space fraction numerator square root of 3 over denominator 2 end fraction end cell equals cell AD over 10 end cell row cell 2 cross times AD end cell equals cell 10 cross times square root of 3 end cell row cell 2 cross times AD end cell equals cell 10 square root of 3 end cell row AD equals cell fraction numerator 10 square root of 3 over denominator 2 end fraction end cell row AD equals cell 5 square root of 3 end cell end table$

Kemudian perhatikan increment ADC , sehingga:

$table attributes columnalign right center left columnspacing 0px end attributes row cell sin space straight theta end cell equals cell fraction numerator sisi space depan over denominator sisi space miring end fraction end cell row cell sin space straight C end cell equals cell AD over AC end cell row cell sin space 45 degree end cell equals cell fraction numerator 5 square root of 3 over denominator AC end fraction end cell row cell fraction numerator square root of 2 over denominator 2 end fraction end cell equals cell fraction numerator 5 square root of 3 over denominator AC end fraction end cell row cell square root of 2 cross times AC end cell equals cell 5 square root of 3 cross times 2 end cell row cell square root of 2 cross times AC end cell equals cell 10 square root of 3 end cell row AC equals cell fraction numerator 10 square root of 3 over denominator square root of 2 end fraction cross times fraction numerator square root of 2 over denominator square root of 2 end fraction end cell row AC equals cell fraction numerator 10 square root of 6 over denominator 2 end fraction end cell row AC equals cell 5 square root of 6 end cell end table$

Jadi, jawaban yang benar adalah A.