Triangles with Integer Area and Integer Sides in Arithmetical Sequence/Mistake

Source Work

 * The Dictionary
 * $126$
 * $126$

Mistake

 * [$126$ is] the area of the third-smallest triangle with integral sides in arithmetical progression and integral area: the sides are $15, 28, 41$. The first two are $3, 4, 5$ and $13, 14, 15$; the next is $15, 26, 37$, with area $156$.

Exactly what this statement is supposed to say is not clear, but the triangle with integral sides $6, 8, 10$, in arithmetic progression, has area $24$, which is smaller than the $13, 14, 15$ triangle.