In (\triangle ABC), D is the median from A to BC. (AB = 6) cm, (AC = 8) cm, and (BC = 10) cm. The length of median AD (in cm) is:

In triangle ABC with sides AB = 6, AC = 8, BC = 10, we have a right triangle (6² + 8² = 10²). D is the midpoint of BC (since AD is a median). Using Apollonius's theorem: AB² + AC² = 2(AD² + BD²). BD = BC/2 = 5. So 36 + 64 = 2(AD² + 25), giving 100 = 2AD² + 50, so 2AD² = 50, AD² = 25, AD = 5 cm. Alternatively, in a right triangle, the median to the hypotenuse equals half the hypotenuse.