Pythagorean Triple/Examples/8, 15, 17

Example of Pythagorean Triple

The triple $\tuple {8, 15, 17}$ forms a Pythagorean triple which is also a primitive Pythagorean triple.

$\ds 8^2 + 15^2$

$=$

$\ds 64 + 225$

$\ds $

$=$

$\ds 289$

$\ds $

$=$

$\ds 17^2$

Hence $\tuple {8, 15, 17}$ is a Pythagorean triple by definition.

We also have that $8 \perp 15$, demonstrating that $\tuple {8, 15, 17}$ is a primitive Pythagorean triple.

$\blacksquare$

2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): Pythagorean triple