Iklan

Iklan

Pertanyaan

Perhatikan gambar berikut Pada persegi panjang ABCD, diketahui u = D C dan v = BC Diketahui BP : PC = 1 : 3 dan DQ : QC = 1 : 2. Maka PQ ​ = ...

Perhatikan gambar berikut

Pada persegi panjang ABCD, diketahui dan Diketahui BP : PC = 1 : 3 dan DQ : QC = 1 : 2. Maka

  1. begin mathsize 14px style 2 over 3 v with rightwards arrow on top minus 3 over 4 u with rightwards arrow on top end style

  2. begin mathsize 14px style 1 fourth v with rightwards arrow on top minus 1 third u with rightwards arrow on top end style

  3. begin mathsize 14px style 3 over 4 v with rightwards arrow on top minus 2 over 3 u with rightwards arrow on top end style

  4. begin mathsize 14px style 1 fourth v with rightwards arrow on top plus 1 third u with rightwards arrow on top end style

  5. begin mathsize 14px style 3 over 4 v with rightwards arrow on top plus 2 over 3 u with rightwards arrow on top end style

Iklan

N. Indah

Master Teacher

Mahasiswa/Alumni Universitas Diponegoro

Jawaban terverifikasi

Iklan

Pembahasan

Perhatikan bahwa Karena BP : PC = 1 : 3, maka panjang . Karena searah dengan maka Kemudian karena DQ : QC = 1 : 2, maka panjang . Karena searah dengan maka Sehingga

Perhatikan bahwa

begin mathsize 14px style stack P Q with rightwards arrow on top equals stack P C with rightwards arrow on top plus stack C Q with rightwards arrow on top equals stack P C with rightwards arrow on top plus open parentheses negative stack Q C with rightwards arrow on top close parentheses equals stack P C with rightwards arrow on top minus stack Q C with rightwards arrow on top end style 

Karena BP : PC = 1 : 3, maka panjang begin mathsize 14px style P C equals 3 over 4 B C end style . Karena begin mathsize 14px style stack P C with rightwards arrow on top end style searah dengan begin mathsize 14px style stack B C with rightwards arrow on top end style maka begin mathsize 14px style stack P C with rightwards arrow on top equals 3 over 4 stack B C with rightwards arrow on top end style

Kemudian karena DQ : QC = 1 : 2, maka panjang begin mathsize 14px style Q C equals 2 over 3 D C end style . Karena begin mathsize 14px style stack Q C with rightwards arrow on top end style searah dengan begin mathsize 14px style stack D C with rightwards arrow on top end style maka begin mathsize 14px style stack Q C with rightwards arrow on top equals 2 over 3 stack D C with rightwards arrow on top end style

 

Sehingga

begin mathsize 14px style stack P Q with rightwards arrow on top equals stack P C with rightwards arrow on top minus stack Q C with rightwards arrow on top equals 3 over 4 stack B C with rightwards arrow on top minus 2 over 3 stack D C with rightwards arrow on top equals 3 over 4 v with rightwards arrow on top minus 2 over 3 u with rightwards arrow on top end style 

 

 

 

Perdalam pemahamanmu bersama Master Teacher
di sesi Live Teaching, GRATIS!

4

Iklan

Iklan

Pertanyaan serupa

Perhatikan gambar berikut Gambar dari vektor hasil 3 p ​ + 2 r + q ​ adalah ....

2

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

Hubungi Kami

Ruangguru WhatsApp

+62 815-7441-0000

Email info@ruangguru.com

[email protected]

Contact 02140008000

02140008000

Ikuti Kami

©2024 Ruangguru. All Rights Reserved PT. Ruang Raya Indonesia