Matematika

Pertanyaan

AB=3x Ac=4x BC=5x.bila keliling segitiga ABC=600cm hitunglah luas segitiga ABC

1 Jawaban

  • k = 600 cm

    k = a + b + c
    600 = 3x + 4x + 5x
    600 = 12x
    x = 600/12
    x = 50

    ab = 3x = 3 x 50 = 150 cm
    ac = 4x = 4 x 50 = 200 cm
    bc = 5x = 5x 50 = 250 cm

    s = 1/2 keliling
    s = 1/2 x 600
    s = 300 cm
    Luas?

    L = √s(s-a)(s-b)(s-c)
    L =√300 (300 - 150) (300 - 200) (300 - 250)
    L = √ 300 . 150 . 100. 50
    L = √ 225000000
    L = 15000 cm²

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