Pythagorean Triangle with Sides in Arithmetic Sequence/Mistake

Source Work

 * The Dictionary
 * $5$
 * $5$

Mistake

 * The $3-4-5$ triangle is the only Pythagorean triangle whose sides are in arithmetical progression.

It needs to be pointed out that, as has defined Pythagorean triangle, $6-8-10$ is also a Pythagorean triangle, and $6, 8, 10$ is an arithmetical progression.

The correct statement needs to include the condition that the sides form a primitive Pythagorean triple.