Matematika

Pertanyaan

diketahui diagonal - diagonal layang - layang memiliki perbandingan 4 : 5 . jika luas layang - layang 90 cm maka panjang masing - masing diagonal nya adalah?

2 Jawaban

  • Luas = 1/2 x d1 x d2
    90 = 1/2 x 4x x 5x
    90= 2x . 5x
    90= 10x
    x = 90/10
    x= 9

    diagonal 1 = 4x = 4 x 9 = 36cm
    diagonal 2= 5x = 5 x 9 = 45 cm

    maaf klo salah
  • luas = 1/2 × diagonal 1 × diagonal 2
    90 = 1/2 × 4n × 5n
    90 = 1/2 × 20n^2
    90 = 10n^2
    n^2= 90 ÷ 10
    n^2 = 9
    n = akar kuadrat dari 9
    n = 3

    diagonal 1 = 4n = 4(3) = 12 cm
    diagonal 2 = 5n = 5(3) = 15 cm

    catatan: ^2 artinya pangkat dua

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