Matematika

Pertanyaan

Diketahui layang layang ABCD dengan panjang AB:15cm dan diagonal BD:24cm jika keliling layang layang tersebut 70cm maka panjang diagonal AC adalah....

2 Jawaban

  • AO = √15² - 12²
    AO = √225 - 144
    AO = √81
    AO = 9 cm

    OC = √20² - 12²
    OC = √400 - 144
    OC = √256
    OC = 16 cm

    maka;
    AC = OC + AO
    AC = 16 cm + 9 cm
    AC = 25 cm

    ✔ senang bisa membantu, semoga bermanfaat ya :)
  • Keliling = 70
    2(AB + BC) = 70
    AB + BC = 70/2
    15 + BC = 35
    BC = 20
    Misal titik tengah BD = O sehingga
    BO = OD = 1/2 (BD) = 1/2 (24) = 12
    AO = √(AB^2 - BO^2) = √(15^2 - 12^2) = √(225 - 144) = √81 = 9
    OC = √(BC^2 - BO^2) = √(20^2 - 12^2) = √(400 - 144) = √256 = 16
    AC = AO + OC = 9 + 16 = 25 cm

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