**ABC is a triangle whose vertices are A(2, -1 ), B(-4, 2) and C(2, 5). Find the length of the median AD.**

###### Answers:

Let D be the mid point BC.

The mid point of the line segment joining (x_{1},y_{1}) and (x_{2},y_{2}) is (x_{1}+x_{2}/2, y_{1}+y_{2}/2)

Thus the coordinates of D = (-4+2/2, 2+5/2) ∴ D=(1-,7/2)

As A =(2,-1) and D = (-1,,7/2)

AD =