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SSAT Upper Level
Quantitative (Math)

Area of Triangle Inscribed in Regular Hexagon

Very Hard Geometry And Measurement Polygons

In a regular hexagon, each interior angle measures $$120^{ ext{o}}$$. A triangle is inscribed within the hexagon such that its vertices are at every other vertex of the hexagon. Calculate the area of the inscribed triangle if the side length of the hexagon is $$s$$.

Your task is to find the area of this triangle in terms of the side length $$s$$ of the hexagon.

Hint

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