Tangent of 22.5° - Proof Wthout Words

Here's a proof without words by Grégoire Nicollier from Sion, Switzerland.

Tangent of 22.5° - Proof Wthout Words

Grégoire notes that the proof can be directly folded from the standard A4 paper sheet (whose dimensions \(11.7''\times 8.3''\) or in metric millimeters \(297×210\)) have been specifically designed to approximate \(\sqrt{2}\times 1\).

Paper Folding Geometry

Trigonometry

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