Matematika

Pertanyaan

Tolong bantu jawab no 2 sampai no 4
Tolong bantu jawab no 2 sampai no 4

1 Jawaban

  • 27)
    x = (180° - 120°) + (180° - 130°)
    = 60° + 50°
    = 110°

    atau

    x = 360° - (120° + 130°)
    = 360° - 250°
    = 110°

    28)

    SEGITIGA ABC
    K = 64 cm
    AB = (2x-5)
    BC = (x+13)
    AC = (3x-16)

    a)
    K = AB + BC + AC
    64 = 2x - 5 + x + 13 + 3x - 16
    64 = 6x - 8
    6x = 64 + 8
    6x = 72
    x = 72/6
    x = 12
    b)
    panjang AB = 2x - 5
    = 2×12 - 5
    = 24 - 5
    = 19 cm
    panjang BC = x + 13
    = 12 + 13
    = 25 cm
    panjang AC = 3x - 16
    = 3×12 - 16
    = 36 - 16
    = 20 cm
    29)
    BE = BC = CD = DE = AF = 15 cm
    CE = 24 cm
    FE = 30 cm
    tinggi trapesium (t) = 1/2 × CE
    = 1/2 × 24
    = 12 cm
    BD = 2 × [akar (BE^2 - (1/2×CE)^2)]
    = 2 × [akar (15^2 - (1/2×24)^2)]
    = 2 × [akar (15^2 - 12^2)]
    = 2 × [akar (225 - 144)]
    = 2 × [akar 81]
    = 2 × 9
    = 18 cm
    AB = FE - BD
    = 30 - 18
    = 12 cm
    L = L trapesium + L belah ketupat
    = [1/2×(FE+AB)×t] + [1/2×BD×CE]
    = [1/2×(30+12)×12] + [1/2×18×24]
    = [1/2×42×12] + [1/2×18×24]
    = 252 + 216
    = 468 cm^2