Let \(G\) denote the centroid of triangle \(ABC\). Let \(M\) and \(N\) be points on sides \(AB\) and \(AC\), respectively, so that \(M, G,\) and \(N\) are collinear, and \(AM/MB = 5/2\). Find \(AN/NC\).
Thanks in advance for any help.
Hint: use an equilateral triangle with a side length of 7