Pythagorean Triangle/Examples/7-24-25

Example of Primitive Pythagorean Triangle
The triangle whose sides are of length $7$, $24$ and $25$ is a primitive Pythagorean triangle.


 * 7-24-25.png

Proof
It follows by Pythagoras's Theorem that $7$, $24$ and $25$ form a Pythagorean triple.

Note that $7$ and $24$ are coprime.

Hence, by definition, $7$, $24$ and $25$ form a primitive Pythagorean triple.

The result follows by definition of a primitive Pythagorean triangle.