The diagram, jg = 5 cm and ge = 10 cm. based on this information, can g be a centroid of triangle hjk?

Point G cannot be a centroid because GE is wider that JG or JG is shorter than GE. So in this diagram GE is wider than JG with 10 cm and 5 cm respectively based on this information Point G cannot be a centroid of triangle HJK. So the answer is point G cannot be a centroid because JG is shorter than GE.

The answer for you question is b