Trigonometric Equations Question 275
Question: The angles of a triangle are in the ratio $ 1:3:5 $ , then the greatest angle is
[Kerala (Engg.) 2002]
Options:
A) $ 5\pi /9 $
B) $ 2\pi /9 $
C) $ 7\pi /9 $
D) $ 11\pi /9 $
Show Answer
Answer:
Correct Answer: A
Solution:
- Let $ x+3x+5x=180^{o} $
Þ $ 9x=180^{o} $ Þ $ x=20^{o}=\frac{\pi }{9} $
$ \therefore $ Greatest angle is $ \frac{5\pi }{9}. $