Answer :

According to the distance formula, the distance 'd' between two points (a,b) and (c,d) is given by .....(1)

According to the mid point theorem the coordinates of the point P(x,y) dividing the line formed by A(a,b) and B(c,d) is given by:

Mid point of AB x coordinate =

Y coordinate =

Mid point of BC x coordinate =

Y coordinate =

Mid point of AC x coordinate =

Y coordinate = = 3

Length of median through A is the distance between pt A and the mid point of BC

D_{a} = = 5

Length of median through B is the distance between pt B and the mid point of AC

D_{b} = = 2

Length of median through C is the distance between pt C and the mid point of AB

D_{c} = =

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