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

Let A (1, –1), B (0, 4) and C (–5, 3) are the points vertices of triangle.

Let D, E and F are the mid–points of the sides AB, BC and AC respectively.

Mid – point formula =

Mid – point of AB =

D =

D =

Mid – point of BC =

E =

E =

Mid – point of AC =

F =

F =

F = (–2, 1)

Distance formula = √ (x₁– x₂)² + (y₁ – y₂)²

A (1, –1) and E

Length of AE =

=

=

=

=

=

B (0, 4) and F (–2, 1)

Length of BF =

=

=

=

A (–5,3) and D

Length of AE =

=

=

=

=

=