**Pythagorean Theorem**

This is how I first really understood the Pythagorean Theorem.

The outer circle looks just a little bit larger than the inner circle. But actually, **its area is twice as large**.

Kind of like the difference between medium and large soda cups, or how a tiny house still requires kind of a lot of timber, for how much air it encloses.

Ideas involved here:

- scaling properties of squared quantities

(gravitational force, skin, paint, loudness, brightness) - circumcircle & incircle
- â2

This is also how I first really understood **â2**, now my favourite number.

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Tags: â2, education, generalised number, generalised numbers, geometry, math, mathematics, maths, number, Pythagorean theorem, science, sqrt(2)

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