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Khan Academy
Khan Academy: Geometry: Area of a Regular Hexagon
This video [7:50] demonstrates how to determine the area a regular hexagon with side length of 2 sq. rt. 3 based on knowledge of 30-60-90 triangles and the area formula of a triangle.
Khan Academy
Khan Academy: Special Right Triangles: Area of a Regular Hexagon
This video demonstrates how to determine the area a regular hexagon using what we know about triangles.