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}. $