The length of median through $A$ of the $\Delta\:ABC$ where $\overrightarrow {AB}=3\hat i+4\hat k\:\:and\:\:\overrightarrow {AC}=5\hat i-2\hat j+4\hat k$ is ?

Question

$(a)\sqrt {72}\:\:\:\:\qquad\:\:(b)\:\:\sqrt { 33}\:\:\:\:\qquad\:\:(c)\:\:\sqrt {288}\:\:\:\:\qquad\:\:(d)\:\:\sqrt {18}$