Pythagorean theorem generalized from 2D to 3D

This demo shows how the Pythagorean theorem can be generalized from 2D to 3D, where the area of a polygon ABC can be computed from the areas of polygons OAB, OBC and OAC (where O is the origin and points A, B and C are on the x-axis, y-axis and z-axis respectively) analogous to the way the length of the hypotenuse can be computed from the lengths of the other two sides of a right triangle.

 

Niek Sprakel

 
Tipo de Material
Atividade
Palavras-chaves
geometry  practice  pythagoras 
Grupo alvo (idade)
8 – 19+
Idioma
English
 
 
 
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