Matematika

Pertanyaan

diketahui segitiga samakaki PQR dngn panjang PR=Qr.jika panjang PQ=9x-5 ,QR=8x-8,PR =5x+4 berapa kaliling segitiga tersebut
a.76
b.77
c.78
d.79

2 Jawaban

  • PR = QR
    5x + 4 = 8x - 8
    4 + 8 = 8x - 5x
    12 = 3x
    x = 12/3 = 4

    Keliling = jmlh ketiga sisi
    K = (9x -5) + (8x - 8) + (5x + 4)
    K = (9x + 8x + 5x) - 5 - 8 + 4
    K = 22x - 9
    K = 22(4) - 9
    K = 88 -9
    K = 79 cm

    D.
  • PR = QR
    5x + 4 = 8x - 8
    5x - 8x = -8 - 4
    -3x = -12
    x = 4

    maka
    PR = 5(4) + 4 = 24cm
    QR = 8(4) - 8 = 24 cm
    PQ = 9(4) - 5 = 31 cm

    keliling segitiga
    = 24 + 24 + 31
    = 79 cm

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