Trigonometric Equations Question 226

Question: If the sides of a triangle are in the ratio $ 2:\sqrt{6}:(\sqrt{3}+1) $ , then the largest angle of the triangle will be

[MP PET 1990]

Options:

A) $ 60^{o} $

B) $ 75^{o} $

C) $ 90^{o} $

D) $ 120^{o} $

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Answer:

Correct Answer: B

Solution:

  • $ \cos \theta =\frac{4+6-{{(\sqrt{3}+1)}^{2}}}{2.2.\sqrt{6}}\Rightarrow \theta =75^{o} $ .