Septic Triangle

Geometry Level 5

The figure shows a regular septagon with side length 1. HIJ\triangle HIJ is formed by diagonals AE,BFAE, BF, and CGCG. What is the area of HIJ\triangle HIJ? Find a closed-form solution, convert it to a decimal number, and submit the sum of the first 50 digits to the right of the decimal point.

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