Matematika

Pertanyaan

nomor 6 dan 7 tentang Pythagoras

cara kerja dan jawaban ya
nomor 6 dan 7 tentang Pythagoras cara kerja dan jawaban ya

1 Jawaban

  • NOMOR 6 :
    [tex]ac {}^{2} = ab {}^{2} + bc {}^{2} \\ac {}^{2} = 12 {}^{2} + 9 {}^{2} \\ ac {}^{2} = 144 + 81 \\ ac {}^{2} = 225 \\ ac = \sqrt{225} \\ ac = 15 \: cm[/tex]

    [tex]ad {}^{2} = ac {}^{2} + cd {}^{2} \\ ad {}^{2} = 15 {}^{2} + 8 {}^{2} \\ ad {}^{2} = 225 + 64 \\ ad {}^{2} = 289 \\ ad = \sqrt{289} \\ ad = 17 \: cm[/tex]

    NOMOR 6 JAWABANNYA B. 17

    NOMOR 7 :
    [tex]be {}^{2} = ab {}^{2} - ae {}^{2} \\ be {}^{2} = 10 {}^{2} - 8 {}^{2} \\ be {}^{2} = 100 - 64 \\ be {}^{2} = 36 \\ be = \sqrt{36} \\ be = 6 \: cm[/tex]

    [tex]bd {}^{2} = bc {}^{2} - cd {}^{2} \\ bd {}^{2} = 13 {}^{2} - 5 {}^{2} \\ bd {}^{2} = 169 - 25 \\ bd { }^{2} = 144 \\ bd = \sqrt{144} \\ bd = \: 12 \: cm[/tex]

    [tex]panjang \: ed \: = bd - be \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 12 - 6 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 6 \: cm[/tex]

    NOMOR 7 JAWABANNYA C. 6

    SEMOGA MEMBANTU :)