Nothing much to say about this one, we play a bit with the triangle formulas until we reach something that looks like a [Pell equation](https://en.wikipedia.org/wiki/Pell%27s_equation).
My approach is basically the same as the one on [mathblog.dk](https://web.archive.org/web/20150420081602/http://www.mathblog.dk/project-euler-94-almost-equilateral-triangles/), but he explains it better.