RoboguruRoboguru
SD

Perhatikan gambar berikut! Jika  AB=10 cmAC=26 cm   Tentukan AD?

Pertanyaan

Perhatikan gambar berikut!

Jika

 begin mathsize 14px style AB equals 10 space cm AC equals 26 space cm end style  

Tentukan AD?

  1. ...space 

  2. ...space 

F. Freelancer9

Master Teacher

Jawaban terverifikasi

Jawaban

panjang AD adalah begin mathsize 14px style fraction numerator 130 square root of 194 over denominator 194 end fraction end style cm.

Pembahasan

Pertama-tama kita cari panjang BC dengan menggunakan teorema pythagoras,

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row BC equals cell square root of AB squared plus AC squared end root end cell row blank equals cell square root of 10 squared plus 26 squared end root end cell row blank equals cell square root of 100 plus 676 end root end cell row blank equals cell square root of 776 end cell row blank equals cell 2 square root of 194 end cell end table end style

Karena sebangun, maka perbandingan sisi-sisi yang bersesuaian pada kedua segitiga tersebut memiliki perbandingan yang sama, sehingga berlaku perbandingan berikut,

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell AD over AC end cell equals cell AB over BC end cell row cell AD over 26 end cell equals cell fraction numerator 10 over denominator 2 square root of 194 end fraction end cell row AD equals cell fraction numerator 10 over denominator 2 square root of 194 end fraction cross times 26 end cell row AD equals cell fraction numerator 5 over denominator square root of 194 end fraction cross times 26 end cell row AD equals cell fraction numerator 130 over denominator square root of 194 end fraction end cell row AD equals cell fraction numerator 130 over denominator square root of 194 end fraction cross times fraction numerator square root of 194 over denominator square root of 194 end fraction end cell row AD equals cell fraction numerator 130 square root of 194 over denominator 194 end fraction end cell end table end style

Jadi, panjang AD adalah begin mathsize 14px style fraction numerator 130 square root of 194 over denominator 194 end fraction end style cm.

18

0.0 (0 rating)

Pertanyaan serupa

Perhatikan gambar di atas! Panjang ruas garis AD adalah ....

93

0.0

Jawaban terverifikasi

RUANGGURU HQ

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

Coba GRATIS Aplikasi Roboguru

Coba GRATIS Aplikasi Ruangguru

Download di Google PlayDownload di AppstoreDownload di App Gallery

Produk Ruangguru

Produk Lainnya

Hubungi Kami

Ruangguru WhatsApp

081578200000

Email info@ruangguru.com

info@ruangguru.com

Contact 02140008000

02140008000

Ikuti Kami

©2022 Ruangguru. All Rights Reserved PT. Ruang Raya Indonesia