In triangle ABC, ∠A = 90°, AB = 6 cm and AC = 8 cm. How long is the median drawn from B?

The median from $B$ goes to the midpoint $M$ of AC, so AM = 4 cm. In right triangle BAM, $BM=\sqrt{6^2+4^2}=\sqrt{52}=2\sqrt{13}$ cm. (5 cm is the median to the hypotenuse, from A.)