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The figure (not drawn to scale) shows a regular octagon ABCDEFGH with diagonal AF = 1.

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The figure (not drawn to scale) shows a regular octagon ABCDEFGH with diagonal AF = 1. Find the numerical value of the side of the octagon.

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θ = 22.5° ( ∠ AOB = 45º)

tan 22.5° = x/2 . 2/1

x = tan 22.5° = √2 - 1

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