The vectors $\overrightarrow{AB} = 3\hat{i} + 4 \hat{k}$, and $\overrightarrow{AC} = 5 \hat{i} -2\hat{j} + 4 \hat{k}$ are the sides of a triangle $ABC$. The length of the median through $A$ is :

Question

( A ) $\sqrt{72}$
( B ) $\sqrt{288}$
( C ) $\sqrt{33}$
( D ) $\sqrt{18}$