Matematika

Pertanyaan

Diketahui luas belahketupat ABCD = 216 cm².jika panjang diagonal AC= 18cm,keliling belahketupat ABC =

2 Jawaban

  • Diketahui :
    luas = 216 cm3
    diagonal 1 (AC) = 18 cm
    diagonal 2 (BD) ???

    luas = 1/2 × d1 × d2
    216 = 1/2 × 18 × d2
    216 = 9 × d2
    d2 = 216 : 9
    d2 = 24 cm

    AO = 1/2 × AC = 1/2 × 18 = 9
    BO = 1/2 × BD = 1/2 × 24 = 12
    AB=BC=CD=DA = (12×12) + (9×9)
    = 144 + 81
    = 225 (diakar 2)
    = 15 cm
    kll = AB + BC + CD + DA
    = 15 + 15 + 15 + 15
    = 60 cm
  • dik : L = 216 cm²
    D1= 18 cm
    dit : keliling ABC
    Jwb :
    L =1/2.D1.D2
    216 = 1/2.18.D2
    216 =9.D2
    D2 = 216/9 = 24 cm
    Panjang sisi belah ketupat
    =√9² + 12²
    =√81 + 144
    =√225
    =15 cm

    keliling belah ketupat
    K = 4s
    =4(15)
    =60 cm

    Maaf kalo salah

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