Q. 194.5( 11 Votes )

Find the length of medians of the triangle whose vertices are (1, –1), (0, 4) and (–5, 3).

Answer :

We have the vertices of ∆ABC, A (1, –1), B (0, 4) and C (–5, 3).


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



Using the mid–point formula,


Coordinates of D are


Coordinates of E are = (–2, 1)


Coordinates of F are


Using distance formula,


Length of median AD =


=


=


=


=


=



Length of median BE =


=


=


=


Length of median CF =


=


=


=


=


=


The lengths of medians of the triangle whose vertices are (1, –1), (0, 4) and (–5, 3) are and √13.


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