Trigonometric Equations Question 41
Question: If $ b=3,c=4 $ and $ B=\frac{\pi }{3} $ , then the number of triangle that can be constructed is
[Roorkee 1992]
Options:
A) Infinite
B) Two
C) One
D) Nil
Show Answer
Answer:
Correct Answer: D
Solution:
- Hence $ c\sin B=4\sin \frac{\pi }{3}=2\sqrt{3}>b(=3) $ Thus, we have $ b<c\sin B $ . Hence no triangle is possible i.e., the number of triangles that can be constructed is nil.
BETA
