Pythagorean Triangle/Examples/693-1924-2045

Example of Primitive Pythagorean Triangle
The triangle whose sides are of length $693$, $1924$ and $2045$ is a primitive Pythagorean triangle.


 * 693-1924-2045.png

Proof
It follows by Pythagoras's Theorem that $693$, $1924$ and $2045$ form a Pythagorean triple.

Note that $693$ and $1924$ are coprime.

Hence, by definition, $693$, $1924$ and $2045$ form a primitive Pythagorean triple.

The result follows by definition of a primitive Pythagorean triangle.