Matematika

Pertanyaan

Hitunglah nilai a, b, Dan c pada gambar di atas!

tolong dibantu dgn caranya yg jelas, makasi bnyak
Hitunglah nilai a, b, Dan c pada gambar di atas! tolong dibantu dgn caranya yg jelas, makasi bnyak

1 Jawaban

  • AE = 3
    AD = 2
    DE = 6
    BC = 12

    AE/AB = DE/BC
    3/(3+a) = 6/12
    3 × 12 = 6 × (3+a)
    36 = 18 + 6a
    6a = 36 - 18
    6a = 18
    a = 18/6
    a = 3

    AD/AC = DE/BC
    2/(2+b) = 6/12
    2 × 12 = 6 × (2+b)
    24 = 12 + 6b
    6b = 24 - 12
    6b = 12
    b = 12/6
    b = 2

    a^2 = 8 × 18
    a^2 = 144
    a = V144
    a = 12

    b^2 = 18 × (18+8)
    b^2 = 18 × 26
    b^2 = 468
    b = V468
    b = V(36×13)
    b = V36V13
    b = 6V13
    b = 21,63

    c^2 = 8 × (8 + 18)
    c^2 = 8 × 26
    c^2 = 208
    c = V208
    c = V(16×13)
    c = V16V13
    c = 4V13
    c = 14,42