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20 Maret 2024 13:24

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20 Maret 2024 13:24

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Sumber W

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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

 

   


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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

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