Q. 85.0( 6 Votes )

In a triangle ABC, if 2A = 3B = 6C, determine a, B and C.

Answer :

In a triangle ABC, it is given that


2A = 3B = 6C


2A = 6C


⇒ ∠A = 3C


Similarly,3B = 6C


⇒ ∠B = 2C


We know that the sum of the angles of a triangle is 180°.


⇒ ∠A + B + C = 180°


3C + 2C + C = 180°


6C = 180°


⇒ ∠C = 30°


So, A = 3× C = 90°


B = 2× C = 60°


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