Sasa S

20 Maret 2024 13:24

Iklan

Sasa S

20 Maret 2024 13:24

Pertanyaan

Tolong bantu jawab Kak πŸ™πŸ»

Tolong bantu jawab Kak πŸ™πŸ»

alt

Ikuti Tryout SNBT & Menangkan E-Wallet 100rb

Habis dalam

00

:

19

:

17

:

32

Klaim

7

2

Jawaban terverifikasi

Iklan

Sumber W

Community

20 Maret 2024 16:29

Jawaban terverifikasi

<p>Jawaban yang tepat adalah</p><p>a. EG = 6 cm</p><p>b. AB = 24 cm</p><p>c. CF = 6 cm</p><p>&nbsp;</p><p>Pembahasan :</p><p>CD = 9 cm</p><p>EF = 14 cm</p><p>AE = 8 cm</p><p>DE = 4 cm</p><p>&nbsp;</p><p>a. Mencari Panjang EG</p><p>&nbsp; &nbsp; AE/AD = EG/CD</p><p>&nbsp; &nbsp; AE/(AE + DE) &nbsp;= EG/CD</p><p>&nbsp; &nbsp; 8/(8 + 4) = EG/9</p><p>&nbsp; &nbsp; 8/12 = EG/9</p><p>&nbsp; &nbsp; 2/3 = EG/9</p><p>&nbsp; &nbsp; 3EG = 18</p><p>&nbsp; &nbsp; &nbsp;EG = 18/3 = 6 cm</p><p>&nbsp;</p><p>b. &nbsp;EF x AD = (DE x AB) + (AE x CD)</p><p>&nbsp; &nbsp; &nbsp; EF x (AE + DE) = (DE x AB) + (AE x CD)</p><p>&nbsp; &nbsp; &nbsp;14 x (8 + 4) = (4 x AB) + (8 x 9)</p><p>&nbsp; &nbsp; &nbsp;14 x 12 = (4 x AB) + 72</p><p>&nbsp; &nbsp; &nbsp;168 = 4AB + 72</p><p>&nbsp; &nbsp; &nbsp; 168 - 72 = 4AB</p><p>&nbsp; &nbsp; &nbsp; 96 = 4AB</p><p>&nbsp; &nbsp; &nbsp; AB = 24 cm</p><p>&nbsp;</p><p>c. Mencari Panjang CF</p><p>&nbsp; &nbsp; &nbsp;FB = 12 cm</p><p>&nbsp; &nbsp; &nbsp;FG = EF - EG = 14 - 6 = 8 cm</p><p>&nbsp; &nbsp; &nbsp;FG/AB = CF/CB</p><p>&nbsp; &nbsp; &nbsp;FG/AB = CF/(CF + FB)</p><p>&nbsp; &nbsp; &nbsp;8/24 = CF/(CF + 12)</p><p>&nbsp; &nbsp; &nbsp;1/3 = CF/(CF + 12)</p><p>&nbsp; &nbsp; &nbsp; 3CF = CF + 12</p><p>&nbsp; &nbsp; &nbsp; 3CF - CF = 12</p><p>&nbsp; &nbsp; &nbsp; 2CF = 12</p><p>&nbsp; &nbsp; &nbsp; CF = 12/2 = 6 cm</p><p>&nbsp;</p><p>&nbsp; &nbsp;</p>

Jawaban yang tepat adalah

a. EG = 6 cm

b. AB = 24 cm

c. CF = 6 cm

 

Pembahasan :

CD = 9 cm

EF = 14 cm

AE = 8 cm

DE = 4 cm

 

a. Mencari Panjang EG

    AE/AD = EG/CD

    AE/(AE + DE)  = EG/CD

    8/(8 + 4) = EG/9

    8/12 = EG/9

    2/3 = EG/9

    3EG = 18

     EG = 18/3 = 6 cm

 

b.  EF x AD = (DE x AB) + (AE x CD)

      EF x (AE + DE) = (DE x AB) + (AE x CD)

     14 x (8 + 4) = (4 x AB) + (8 x 9)

     14 x 12 = (4 x AB) + 72

     168 = 4AB + 72

      168 - 72 = 4AB

      96 = 4AB

      AB = 24 cm

 

c. Mencari Panjang CF

     FB = 12 cm

     FG = EF - EG = 14 - 6 = 8 cm

     FG/AB = CF/CB

     FG/AB = CF/(CF + FB)

     8/24 = CF/(CF + 12)

     1/3 = CF/(CF + 12)

      3CF = CF + 12

      3CF - CF = 12

      2CF = 12

      CF = 12/2 = 6 cm

 

   


Iklan

E. Nur

21 Maret 2024 03:51

Jawaban terverifikasi

Jawaban : a) EG = 6 cm Pembahasan pada gambar terlampir Untuk pertanyaan yang belum terjawab silahkan kirim ulang yaa

alt

Mau pemahaman lebih dalam untuk soal ini?

Tanya ke AiRIS

Yuk, cobain chat dan belajar bareng AiRIS, teman pintarmu!

Chat AiRIS

LATIHAN SOAL GRATIS!

Drill Soal

Latihan soal sesuai topik yang kamu mau untuk persiapan ujian

Cobain Drill Soal

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

Pertanyaan serupa

Tolong di bantu yaa

7

5.0

Jawaban terverifikasi