Roboguru

Dalam  dan  besar     dan   Perbandingan sisisisi yang bersesuaian adalah  .

Pertanyaan

Dalam begin mathsize 14px style increment A B C end style dan begin mathsize 14px style increment P Q R comma end style besar begin mathsize 14px style angle A equals 60 to the power of degree comma end style  begin mathsize 14px style angle B equals 75 to the power of degree comma end style begin mathsize 14px style angle P equals 75 to the power of degree comma end style dan begin mathsize 14px style angle R equals 45 to the power of degree. end style  Perbandingan sisibegin mathsize 14px style minus end stylesisi yang bersesuaian adalah horizontal ellipsis .

  1. begin mathsize 14px style fraction numerator A B over denominator P R end fraction equals fraction numerator A C over denominator Q R end fraction equals fraction numerator B C over denominator P Q end fraction end style 

  2. begin mathsize 14px style fraction numerator A B over denominator P R end fraction equals fraction numerator A C over denominator Q R end fraction equals fraction numerator B C over denominator R Q end fraction end style 

  3. begin mathsize 14px style fraction numerator A B over denominator P R end fraction equals fraction numerator A C over denominator Q R end fraction equals fraction numerator B C over denominator P R end fraction end style 

  4. begin mathsize 14px style fraction numerator A B over denominator Q R end fraction equals fraction numerator A C over denominator P R end fraction equals fraction numerator B C over denominator P Q end fraction end style

Pembahasan Soal:

Diketahui :

    angle A equals 60 to the power of degree
    angle B equals 75 to the power of degree  
    angle P equals 75 to the power of degree 
    angle R equals 45 to the power of degree

Ditanya : 

    - Perbandingan sisibegin mathsize 14px style minus end stylesisi yang bersesuaian

Penyelesaian :

Jumlah sudut triangle adalah 180 to the power of degree.
maka, besar sudut angle C  dan angle Q adalah

table attributes columnalign right center left columnspacing 0px end attributes row cell angle A plus angle B plus angle C end cell equals cell 180 to the power of degree end cell row cell 60 to the power of degree plus 75 to the power of degree plus angle C end cell equals cell 180 to the power of degree end cell row cell 135 to the power of degree plus angle C end cell equals cell 180 to the power of degree end cell row cell angle C end cell equals cell 180 to the power of degree minus 135 to the power of degree end cell row cell angle C end cell equals cell 45 to the power of degree end cell end table
 

table attributes columnalign right center left columnspacing 0px end attributes row cell angle P plus angle Q plus angle R end cell equals cell 180 to the power of degree end cell row cell 75 to the power of degree plus angle Q plus 45 to the power of degree end cell equals cell 180 to the power of degree end cell row cell 120 to the power of degree plus angle Q end cell equals cell 180 to the power of degree end cell row cell angle Q end cell equals cell 180 to the power of degree minus 120 to the power of degree end cell row cell angle Q end cell equals cell 60 to the power of degree end cell end table

Perhatikan Gambar Berikut!


Berdasarkan Gambar di atas, triangle tersebut adalah sebangun dengan besar sudut yang bersesuaian sama besar.

angle A equals angle Q angle B equals angle P angle C equals angle R

Maka, perbandingan sisibegin mathsize 14px style minus end stylesisi yang bersesuaian adalah

fraction numerator A B over denominator P Q end fraction equals fraction numerator A C over denominator Q R end fraction equals fraction numerator B C over denominator P R end fraction

Oleh karena itu, jawaban yang tepat adalah C.

 

Pembahasan terverifikasi oleh Roboguru

Terakhir diupdate 04 Mei 2021

RUANGGURU HQ

Jl. Dr. Saharjo No.161, Manggarai Selatan, Tebet, Kota Jakarta Selatan, Daerah Khusus Ibukota Jakarta 12860

Coba GRATIS Aplikasi Ruangguru

Produk Ruangguru

Produk Lainnya

Hubungi Kami

Ikuti Kami

©2021 Ruangguru. All Rights Reserved