Trigonometric Equations Question 256

Question: Sides of a triangle are $ 2cm,\sqrt{6},cm $ and $ (\sqrt{3}+1)cm $ . The smallest angle of the triangle is

Options:

A) $ 30^{o} $

B) $ 45^{o} $

C) $ 60^{o} $

D) $ 75^{o} $

Show Answer

Answer:

Correct Answer: B

Solution:

  • $ a=2,b=\sqrt{6},c=\sqrt{3}+1 $ \ $ \cos A=\frac{6+3+1+2\sqrt{3}-4}{2\sqrt{6}(\sqrt{3}+1)}\Rightarrow A=45^{o} $ .