In a triangle PQT, QR = √3cm, PR = 3cm, PQ = \(...
In a triangle PQT, QR = √3cm, PR = 3cm, PQ = 2√3cm and PQR = 30°. Find angles P and R
P = 60o and R = 90o
P = 30o and R = 120o
P = 90o and R = 60o
P = 60o and R 60o
P = 45o and R = 105o
Correct answer is A
By using cosine formula, p2 = Q2 + R2 - 2QR cos p
Cos P = Q2+R2−p22QR
= (3)2+2(√3)2−322√3
= 3+12−912
= 612
= 12
= 0.5
Cos P = 0.5
p = cos-1 0.5 = 60°
= < P = 60°
If < P = 60° and < Q = 30
< R = 180° - 90°
angle P = 60° and angle R is 90°
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