Matematika

Pertanyaan

diketahui keliling belah ketupat 100 cm dan panjang salah satu diagonal nya48 cm, luas belah ketupat tersebut

2 Jawaban

  • Sisi miring = kll ÷ 4 = 100 ÷ 4 = 25
    1/2 d2 = √25^2 - √24 = √625 - √576 = √49 = 7
    d2 = 7×2 = 14
    Luas = 1/2 × d1 × d2
    = 1/2 × 48 × 14
    = 336 cm^2
    ^ artinya pangkat
  • K = 4 × s
    100 = 4 × s
    s = 100/4
    s = 25 cm
    d1 = 48 cm
    d2 = 2 × [akar (s^2 - (1/2×d1)^2)]
    = 2 × [akar (25^2 - (1/2×48)^2)]
    = 2 × [akar (25^2 - 24^2)]
    = 2 × [akar (625 - 576)]
    = 2 × [akar 49]
    = 2 × 7
    = 14 cm
    L = 1/2 × d1 × d2
    = 1/2 × 48 × 14
    = 336 cm^2

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