Alfina R

20 November 2023 13:14

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Alfina R

20 November 2023 13:14

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Mohon bantuannya yaa, terima kasih <3

Mohon bantuannya yaa, terima kasih <3

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Sumara S

21 November 2023 01:44

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<p>diket: panjang BC = 15 cm</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;∠AOD = 60°</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;berarti ∠COD = 60° sehingga ∠DCO = 30° dan ∠DCB = 60°</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; panjang DC</p><p>cos 60° = ---------------</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; panjang BC</p><p>1 &nbsp; &nbsp; &nbsp; panjang DC</p><p>-- &nbsp;= ----------------</p><p>2 &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;15</p><p>panjang DC = 7,5 cm</p><p>&nbsp;</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; panjang DC</p><p>cos 30° = &nbsp; -----------------</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; panjang OC</p><p>1 &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;7,5</p><p>-- √3 &nbsp;= &nbsp;----------------</p><p>2 &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;panjang OC</p><p>panjang OC = 5√3 cm</p><p>&nbsp;</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; panjang BD</p><p>sin 60° = &nbsp;---------------</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; panjang BC</p><p>1 &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; panjang BD</p><p>-- √3 &nbsp;= &nbsp;----------------</p><p>2 &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;15</p><p>panjang BD = 7,5√3 cm</p><p>&nbsp;</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; panjang OD</p><p>sin 30° = ----------------</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; panjang OC</p><p>1 &nbsp; &nbsp; &nbsp; panjang OD</p><p>-- &nbsp;= ----------------</p><p>2 &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;5√3</p><p>panjang OD = 2,5√3 cm</p><p>panjang OB = 2,5√3 + 7,5√3 = 10√3 cm</p><p>&nbsp;</p><p>Kll OABC = panjang OA + panjang AB + panjang BC + panjang CO</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;= &nbsp;5√3 + 15 + 15 + 5√3</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;= 40√3 cm</p><p>&nbsp;</p><p>panjang OB = 7,5 + 7,5 = 15 cm</p><p>Jawabannya pilihan E</p><p>semoga membantu.</p>

diket: panjang BC = 15 cm

             ∠AOD = 60°

             berarti ∠COD = 60° sehingga ∠DCO = 30° dan ∠DCB = 60°

                    panjang DC

cos 60° = ---------------

                    panjang BC

1       panjang DC

--  = ----------------

2                15

panjang DC = 7,5 cm

 

                      panjang DC

cos 30° =   -----------------

                      panjang OC

1                        7,5

-- √3  =  ----------------

2              panjang OC

panjang OC = 5√3 cm

 

                    panjang BD

sin 60° =  ---------------

                    panjang BC

1               panjang BD

-- √3  =  ----------------

2                        15

panjang BD = 7,5√3 cm

 

                    panjang OD

sin 30° = ----------------

                    panjang OC

1       panjang OD

--  = ----------------

2                5√3

panjang OD = 2,5√3 cm

panjang OB = 2,5√3 + 7,5√3 = 10√3 cm

 

Kll OABC = panjang OA + panjang AB + panjang BC + panjang CO

                   =  5√3 + 15 + 15 + 5√3

                   = 40√3 cm

 

panjang OB = 7,5 + 7,5 = 15 cm

Jawabannya pilihan E

semoga membantu.


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