Matematika

Pertanyaan

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2 Jawaban

  • Dik : BD = 6 cm
            BC = 14 cm
    Dit : a) AD = ...?
           b) AB = ....?
           c) L ABC = ....?
    Jwb :
    a) AD = √BD x CD
    = √6 x (BC - BD)
    = √6 x (14 - 6)
    = √6 x 8
    =√48

    b) AB = √BD x BC
    = √6 x 14
    = √84

    c) L ABC = 1/2 x AB x AC
    #AC = √CD x CB
    = √8 x 14
    = √112
    = 1/2 x √84 x √112
    = 1/2 x √9.408
    = √4704
  • AB²=BD x BC
    AB²=6 x (14+6)
    AB=√120
    AB=√4√30
    AB=2√30 cm

    AD²=AB²-DB²
    AD²=(2√30)²-6²
    AD²=120-36
    AD=√84
    AD=√4√21
    AD=2√21 cm

    AC²=BC²-AB²
    AC²=20²-(2√30)²
    AC²=400-120
    AC=√280
    AC=√4√70
    AC=2√70 cm

    L=½xABxAC
    L=½x2√30 x 2√70
    L=√30x2√70
    L=2√2100
    L=2√100√21
    L=20√21 cm²