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A circle is drawn inside triangle ABC, tangent to $\overline{AC},$ $\overline{BC},$ and the semicircle with diameter $\overline{AB}.$  The radius of the circle is $1,$ and $\angle BAC = 60^\circ.$  Find the area of triangle $ABC.$

 Dec 27, 2024
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The area of triangle ABC is 10*sqrt(3).

 Dec 27, 2024

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