lengths of medians

Let A = (1, -1), B=(0,4), C=(-5,3)

Let AD be the median through A.

Median AD of the triangle will divide the side BC in two equal parts. So D is the midpoint of side BC.

The coordinates of D are given by

Thus, using distance formula, length of median through A = Length of AD

 

 

 

 units

Similarly, lengths of other two medians can be found.