How is the Pythagorean Theorem true for n dimensional solids? - ProProfs Discuss

# How is the Pythagorean Theorem true for n-dimensional solids?

Asked by M. Jabrowsky, Last updated: Dec 18, 2019

#### John F. connor

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John F. connor, Content Marketing executive, MA, Minsk,Poland

Solid modeling refers to three-dimensional models. When referring to n-dimensional solids, that means that there are shapes, but it could different dimensions. It could be two or three dimensions. There are ways to apply the Pythagorean theorem to three-dimensional shapes if the shape has a right angle in its triangle.

Just like a 2-dimensional shape, the student would need to know the two sides that have the right angle in between them. Then they could calculate the hypotenuse using the theorem of A squared plus B squared is equal to C squared. For a cube, a line can be drawn to make the right triangle. Then as long is one side is known, the theorem can be applied and the cube can be calculated.