Zero In On A Kaleidoscope

Geometry Level 1

Extending the sides of a regular hexagon \(ABCDEF\), of an area of \( 1\text{ cm}^2\), we get another hexagon \(A_1B_1C_1D_1E_1F_1\).

Repeating this process, we can get other hexagons \(A_2B_2C_2D_2E_2F_2 \) etc.

What is the area of the blue triangle?

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