Matematika

Pertanyaan

Diketahui titik koordinat A(-4,2),B(2,-2),C(8,2),D(2,6) jika ABCD membentuk belah ketupat tentukan keliling belah ketupat?beserta cara?

1 Jawaban

  • SUMBU X
    AC = C - A
    AC = (8,2) - (-4,2)
    AC = (8 - (-4),2 - 2)
    AC = (8+4,0)
    AC = 12 satuan

    SUMBU Y
    BD = D - B
    BD = (2,6) - (2,-2)
    BD = (2-2,6-(-2))
    BD = (0,6+2)
    BD = (0,8)
    BD = 8 satuan

    AB = BC = CD = DA

    AB^2 = ((1/2)AC)^2 + ((1/2)BD)^2
    AB^2 = ((1/2)×12)^2 + ((1/2)×8)^2
    AB^2 = 6^2 + 4^2
    AB^2 = 36 + 16
    AB^2 = 52
    AB = V52
    AB = 7,21

    K = 4 × AB
    K = 4 × 7,21
    K = 28,84 satuan

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