With the same figure (medians from midpoints $D, E, F$), which statement is consistent with the theorem of Apollonius applied to $\triangle ABC$?

• a$AB^2 + AC^2 = BC^2$
• b$AB^2 + AC^2 = 2(AD^2 + BD^2)$
• c$AB^2 + AC^2 = 2(AG^2 + GD^2)$
• d$AB^2 + AC^2 = 2(BD^2 + CD^2)$