Pythagorean tangram can demonstrate the [url=https://en.wikipedia.org/wiki/Pythagorean_theorem]Pythagorean Theorem[/url]. [br]The third-century Chinese mathematician Liu Hui used to explain the theorem by dissecting and rearranging squares. [br][url=http://www.futilitycloset.com/2014/09/18/piece-work-2/]http://www.futilitycloset.com/2014/09/18/piece-work-2/[/url][br][i][size=50][size=85]From Jerry Slocum, The Tangram Book, 2003.[/size][/size][/i][br][br]The yellow right triangle ABC with the squares on each sides; the seven [br]pieces that make up squares on catheti can be rearranged to form a square on the hypotenuse.
In Euclid's Elements is formulated by using the geometric meaning of the square. Can you write it in geometric form?
The area of the square whose side is the [url=https://en.wikipedia.org/wiki/Hypotenuse]hypotenuse[/url] (the side opposite the [url=https://en.wikipedia.org/wiki/Right_angle]right angle[/url]) is equal to the sum of the areas of the squares on the [url=https://en.wikipedia.org/wiki/Cathetus]other two sides[/url].