Zero In On A Kaleidoscope

Geometry Level 1

Extending the sides of a regular hexagon ABCDEFABCDEF, of an area of 1 cm2 1\text{ cm}^2, we get another hexagon A1B1C1D1E1F1A_1B_1C_1D_1E_1F_1.

Repeating this process, we can get other hexagons A2B2C2D2E2F2A_2B_2C_2D_2E_2F_2 etc.

What is the area of the blue triangle?

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