# A problem by Fahim Shahriar Shakkhor

Level pending

$$\triangle ABC$$ is inscribed in a circle with radius $$\sqrt{\frac{2}{3}}$$. Given that $$\angle ABC = 45^\circ$$ & $$\angle ACB = 75^\circ$$. The perimeter of the triangle can be written as $$\sqrt{a} + \sqrt{b} + c$$ ; where $$a,b,c$$ are positive integers. Find $$a+b+c$$.

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