Question

In right angle triangle ΔPQR, right angle is at Q and PQ = 6cms ∠RPQ = 60°. Determine the lengths of QR and PR.

Answer 1

QR=6*3^0.5cm PQ=12cm

Answer 2

Answer:

PR = 12 cm

QR = 6 √3 cm

Step-by-step explanation:

PQR, right angle is at Q

PQ = Base  = 6

QR = Height

PR = Hypotenuse

Cos ∠RPQ  = Base / Hypotenuse

=> Cos 60°  = PQ / PR

=> (1/2)  = 6/PR

=> PR = 12 cm

PR² = PQ² + QR²

=> 12² = 6² + QR²

=> QR² = 144 - 36

=> QR² = 108

=> QR² = 36 * 3

=> QR = 6 √3 cm