Problem

Problem

If a,b,Aa, b, A be given in a triangle and c1c_1 and c2c_2 two possible values of third side such that c12+c1c2+c22=a2c_1^2 + c_1 c_2 + c_2^2 = a^2 , then AA is equal to a. 30∘30^\circ b. 60∘60^\circ c. 90∘90^\circ d. 120∘120^\circ

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