Trigonometric Equations Question 182
Question: In a triangle ABC, $ a=5,b=7 $ and $ \sin A=\frac{3}{4} $ how many such triangles are possible
[Roorkee 1990]
Options:
A) 1
B) 0
C) 2
D) Infinite
Show Answer
Answer:
Correct Answer: B
Solution:
- $ \frac{\sin A}{a}=\frac{\sin B}{b}\Rightarrow \frac{3}{4\times 5}=\frac{\sin B}{7}\Rightarrow \sin B=\frac{21}{20} $ , which is not possible.
BETA
