Question

Diketahui ∆PQR dengan panjang sisi PQ = 10 cm dan sudut P = 30°. Jika sudut Q = 105°, maka panjang sisi QR adalah...

Answer 1

Verified answer

Kelas 11 Matematika
Bab Trigonometri Lanjut

sudut R
= 180° - 30° - 105°
= 45°

PQ/sin R = QR/sin P
10/sin 45° = QR/sin 30°
QR = 10 . sin 30°/sin 45°
QR = 10 . 1/2 / (1/2 √2)
QR = 10/√2
QR = 10/√2 . √2/√2
QR = (10 √2)/(2)
QR = 5 √2 cm