Question

In right angle triangle PQR, right angle is at Q and PQ=6cms angle rpq=60 determine the length of QR and PR.​

Answer 1

Explanation:

In ∆PQR, <Q= 90, <QPR= 60,

<PRQ= 30

PQ=1/2* PR

6*2= PR

PR= 12

QR= √3/2* PR

= √3/2* 12

= 6√3

Answer 2

Answer:

PR = 12 cm

QR = 6 √3 cm

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