Determine the length of median AD of triangle ABC with vertices A(-2,-1) , B(2,0), C(0,6).

For the triangle ABC with vertices A(-2,-1) , B(2,0),
C(0,6), the mid point of the side BC is ((2 + 0)/2 , (6 + 0)/2) or (1 ,
3)

The distance of the median AD is the distance from the
point A(-2 , -1) to (1, 3)

This is equal to sqrt[(-2 - 1)^2
+ (-1 - 3)^2]

=> sqrt [ 9 +
16]

=> sqrt
25

=>
5

The length of the median AD is
5