Mathematics - Properties of Triangle Question with Solution | TestHub

Since the centroid segments GA and GB are perpendicular, the median equations yield $a^2$+$b^2$=$5c^2$. Also |a-b| 5(a-b)², equivalent to $4a^2$-10ab+$4b^2$<0. Factoring (2a-b)(a-2b)<0 gives 1/2<a/b<2, equivalently D.