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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