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03 Maret 2024 13:52

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03 Maret 2024 13:52

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Sumber W

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14 Maret 2024 05:21

Jawaban terverifikasi

<p>1. &lt;A = &lt;Q = 10°</p><p>&nbsp; &nbsp; &nbsp;&lt;B = &lt;R = 80°</p><p>&nbsp; &nbsp; &nbsp;&lt;C = &lt;P &nbsp;= 180° - (10° + 80°)</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; = 180° - 90°</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; = 90°</p><p>&nbsp; &nbsp; &nbsp; Karena sudut-sudut yang bersesuaian sama besar maka&nbsp;</p><p>&nbsp; &nbsp; &nbsp; ΔABC dan ΔPQR adalah sebangun</p><p>&nbsp;</p><p>2. BC = x</p><p>&nbsp; &nbsp; &nbsp;CD = 8</p><p>&nbsp; &nbsp; &nbsp;QR = 3</p><p>&nbsp; &nbsp; &nbsp;RS = 2</p><p>&nbsp; &nbsp; &nbsp;QR/BC = RS/CD</p><p>&nbsp; &nbsp; &nbsp;3/x = 2/8</p><p>&nbsp; &nbsp; &nbsp;3/x = 1/4</p><p>&nbsp; &nbsp; &nbsp;x = 12</p><p>&nbsp; &nbsp; Panjang BC = 12</p><p>&nbsp;</p><p>3. PQ = 10</p><p>&nbsp; &nbsp; &nbsp;PS = 4</p><p>&nbsp; &nbsp; &nbsp;AB = 5</p><p>&nbsp; &nbsp; &nbsp;AD = x</p><p>&nbsp; &nbsp; &nbsp;AD/PS = AB/PQ</p><p>&nbsp; &nbsp; &nbsp;x/4 = 5/10</p><p>&nbsp; &nbsp; &nbsp;x/4 = 1/2</p><p>&nbsp; &nbsp; &nbsp;x = 4/2 = 2</p><p>&nbsp; &nbsp; &nbsp;Panjang AD = 2</p><p>&nbsp;</p><p>4. AB = 20; AC = x</p><p>&nbsp; &nbsp; &nbsp;PQ = 4; PR = 6</p><p>&nbsp; &nbsp; &nbsp;AB/PQ = &nbsp;AC/PR</p><p>&nbsp; &nbsp; &nbsp;20/4 = x/6</p><p>&nbsp; &nbsp; &nbsp;5 = x/6</p><p>&nbsp; &nbsp; &nbsp;x = 30</p><p>&nbsp; &nbsp; &nbsp;Panjang AC = &nbsp;30</p><p>&nbsp;</p><p>5. AB = 18</p><p>&nbsp; &nbsp; BC = 4</p><p>&nbsp; &nbsp; PQ = y</p><p>&nbsp; &nbsp; QR = 2</p><p>&nbsp; &nbsp; PQ/AB = QR/BC</p><p>&nbsp; &nbsp; y/18 = 2/4</p><p>&nbsp; &nbsp; y/18 = 1/2</p><p>&nbsp; &nbsp; y = 9</p><p>&nbsp; &nbsp; Nilai y = 9</p>

1. <A = <Q = 10°

     <B = <R = 80°

     <C = <P  = 180° - (10° + 80°)

                      = 180° - 90°

                      = 90°

      Karena sudut-sudut yang bersesuaian sama besar maka 

      ΔABC dan ΔPQR adalah sebangun

 

2. BC = x

     CD = 8

     QR = 3

     RS = 2

     QR/BC = RS/CD

     3/x = 2/8

     3/x = 1/4

     x = 12

    Panjang BC = 12

 

3. PQ = 10

     PS = 4

     AB = 5

     AD = x

     AD/PS = AB/PQ

     x/4 = 5/10

     x/4 = 1/2

     x = 4/2 = 2

     Panjang AD = 2

 

4. AB = 20; AC = x

     PQ = 4; PR = 6

     AB/PQ =  AC/PR

     20/4 = x/6

     5 = x/6

     x = 30

     Panjang AC =  30

 

5. AB = 18

    BC = 4

    PQ = y

    QR = 2

    PQ/AB = QR/BC

    y/18 = 2/4

    y/18 = 1/2

    y = 9

    Nilai y = 9


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