Pythagorean theorem has many famous proofs of the type “Look”. Some of them can be presented in a very unusual way.
One set must contain different earrings: together they present a proof of a Pythagor’s theorem. A girl with such earrings will surely attract attention, and if she explains the theorem’s proof to a young man…
The same proof can be realized as a table model for a class.
Such a proof has been known since ancient times. Ancient Chinese “Tractate on a measuring pole” indicates, that Pythagorean theorem for a right triangle with sides $3$, $4$, $5$ was known by Shan Gao 1100 years BC, and in a common case — to Chan-Zi, who lived in VI century BC. In the comments to this book it is indicated that the proof of this theorem was based on a draft, illustrated below (the left draft). And in an Indian book “A wreath of knowledge” (Bhaskara, XII century) the right draft is mentioned as a proof of a theorem, completed by a caption “Look”.
The mentioned images are only ideas for proofs. It is recommended to fully reestablish them in every case.
