Matematika

Pertanyaan

hitung la panjang PR
hitung la panjang PR

1 Jawaban

  • PR^2 = PQ^2 + QR^2 - 2 . PQ . QR cos 120°
    PR^2 = 6^2 + 8^2 - 2 . 6 . 8 . (-1/2)
    PR^2 = 36 + 64 + 48
    PR = √148
    PR = 2√37 cm

    QR/(sin P) = PR/(sin Q)
    8/(sin P) = 2√37 / (1/2 √3)
    2√37 sin P = 8 . 1/2 √3
    2√37 sin P = 4√3
    sin P = (4√3)/(2√37) = 2√3/√37 . √37/√37 = 2√111 /37
    P = 34,71°

    R = 180° - (120° + 34,71°) = 25,29°