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Rescaling the Pythagorean Theorem

Posted 02.16.2008, under Math

The Pythagorean theorem can apply to any shape, not just triangles. It can measure nearly any type of distance. And yet this 2000-year-old formula is still showing us new tricks.

Re-arranging the formula from this:

\displaystyle{c = \sqrt{a^2 + b^2}}

to this:

\displaystyle{c= a \cdot \sqrt{1 + (b/a)^2}}

helps us understand the relationship between slope (steepness) and distance. Let’s take a look.

Rescale Your Triangle

Scaling …

Surprising Uses of the Pythagorean Theorem

Posted 10.24.2007, under Math

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