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SMO 2005 Senior Round 1 Question 18

SMO · SMO 2005 Senior Round 1

Question 18

A triangle $ABC$ is inscribed in a circle of radius $4$ cm. Suppose that $\angle A=60^\circ$, $AC-AB=4$ cm, and the area of $ABC$ is $x$ cm$^2$. Find the value of $x^2$.