Trigonometric Equations Question 200

Question: In $ \Delta ABC, $ if $ a=16,b=24 $ and $ c=20, $ then $ \cos \frac{B}{2}= $

[MP PET 1988]

Options:

A) 3/4

B) 1/4

C) 1/2

D) 1/3

Show Answer

Answer:

Correct Answer: A

Solution:

  • $ 2s=a+b+c $ ; $ \cos \frac{B}{2}=\sqrt{\frac{30\times 6}{320}}=\frac{3}{4} $ .