Trigonometric Equations Question 17

Question: If $ a=2,b=3,c=5 $ in $ \Delta ABC $ , then C =

[EAMCET 1984]

Options:

A) $ \frac{\pi }{6} $

B) $ \frac{\pi }{3} $

C) $ \frac{\pi }{2} $

D) None of these

Show Answer

Answer:

Correct Answer: D

Solution:

  • $ \cos C=\frac{a^{2}+b^{2}-c^{2}}{2ab}=-1 $
    Þ $ \angle C=180^{\circ} $ , which is inadmissible in a triangle.


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