# A problem by Fahim Shahriar Shakkhor

Level pending

In $$ABC$$ equilateral triangle the length of each side is $$24$$. $$D$$ is the midpoint of $$BC$$. $$DE$$ and $$DF$$ are drawn perpendicular to $$AB$$ and $$AC$$ respectively from the point $$D$$. $$O$$ is the intersection point of $$AD$$ and $$EF$$. Find the circum-radius of $$\triangle AOF$$.

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