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**1. given a triangle with sides A, B and C, where angle a is equal to 2b ,side A is fixed and angle c is obtuse what is the minimum possible perimetre?**

**2. The cosine law and the sine law are relevant**

**3.I tried to mkae function of the square of the preimrtre but the computations became intensive and it was inelegant. Also given the obtuseness constraint the angle b(or was it a) had to be equal or lesser than 30 degrees**

I'm looking for something as elegant as possible.