Matematika

Pertanyaan

bantu jawabin ya kak No 27&29. pliss
bantu jawabin ya kak No 27&29. pliss

1 Jawaban

  • Mapel : Matematika
    Kelas : X SMA
    Bab : Trigonometri

    Pembahasan :
    27|| Aturan Cosinus

    BC² = AB² + AC² - 2(AB)(AC) Cos A
    BC² = 8² + 5² - 2(8)(5) Cos 60
    BC² = 64 + 25 - 40
    BC² = 49
    BC = √49
    BC = 7 cm

    Aturan Cosinus
    Cos < ACB = (AC² + BC² - AB²)/2(AC)(BC)
    Cos < ACB = (5² + 7² - 8²)/70
    Cos < ACB = (25 + 49 - 64)/70
    Cos < ACB = 10/70
    Cos < ACB = 1/7

    29|| Aturan Sinus
    PR/Sin Q = PQ/Sin R
    (4√2) . Sin R = 4 . Sin Q
    (4√2) . Sin 30° = 4Sin Q
    4Sin Q = 2√2
    Sin Q = 1/2 √2
    Q = 45°

    < P = 180° - (30 + 45)°
    < P = 180° - 75°
    < P = 105°