Pythagorean Triangle/Examples/5-12-13

Example of Primitive Pythagorean Triangle
The triangle whose sides are of length $5$, $12$ and $13$ is a primitive Pythagorean triangle.


 * 5-12-13.png

Proof
It follows by Pythagoras's Theorem that $5$, $12$ and $13$ form a Pythagorean triple.

Note that $5$ and $12$ are coprime.

Hence, by definition, $5$, $12$ and $13$ form a primitive Pythagorean triple.

The result follows by definition of a primitive Pythagorean triangle.