Puzzles/Geometric Puzzles/Rubber Band

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Puzzles | Geometric puzzles | Rubber Band

Imagine a rubber band which is infinitely thin and fixed on one end onto a plane with a nail. In its relaxed state it measures exactly 6cm and can be stretched to exactly 8cm.

Your task is to construct a right-angled triangle in the plane using only the rubber band, your absolutely precise hands and a sharp pencil.

Solution 1 | Solution 2