10 Solving for angle A in triangle ABC

Problem 10
In a triangle ABC, if   $\dfrac{2 \cos A}{a} + \dfrac{\cos B}{b} + \dfrac{2 \cos C}{c} = \dfrac{a}{bc} + \dfrac{b}{ca}$,   find the value of angle $A$.
 

Solution

 

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If you are a reviewee for a

If you are a reviewee for a board exam, once you see this kind of problem, there is a big probability that the answer will always be 90 degrees