Matematika

Pertanyaan

diketahui segitiga ABC, sudut BAC = 15 ° sudut ABC =140° dan panjang AB = 5 cm. hitung panjang sisi AB, BC dan AC.

1 Jawaban

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    BAC : 15°
    ABC : 140°
    AB : 5cm
    BC :?
    AC : ?

    Sudut segitiga : 180°
    maka sudut BCA : 180-140-15 : 25°

    Aturan Sinus.
    a/sin A = b/sin B = c/sin C
    BC/sin BAC = AC/sin ABC = AB/sin BCA

    BC/sin BAC = AB/sin BCA
    BC/sin 15° = 5/sin 25°
    BC = 5.sin15°/sin25° (dicari nilai sin-nya di kalkulator yaaa)

    AC/sin ABC = AB/sin BCA
    AC/sin140°=5/sin25°
    AC = 5.sin140°/sin25° (dicari nilai sin-nya di kalkulator yaa)

    Kalau boleh jadikan jawaban tercerdas ^^

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