Answer :

Here given vertices of triangle are A (-1, 3), B (1, -1) and C (5, 1).


Let D, E and F be the midpoints of the sides BC, CA and AB respectively.



We need to find length of median passing through A, ie distance between AD.


Let point D ≡ (x, y)


By midpoint formula,


x = , y =


For midpoint D of side BC,


x = , y =


x = , y =


D(x , y) ≡ (3, 0 )


Now, by distance formula,


XY =


For AD,


AD =


AD =


AD =


AD = 5 units


Hence, the length of the median through A is 5 units


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