The lengths of the medians  of the triangle with vertices are , and .

Calculate the mid points of each side of triangle.

is the mid point of , is the mid point of and is the mid point of .

Calculate the mid point between two points by using the formula,

.

Find the coordinates of mid points. \ \

Find the coordinate of .

and

Substitute for , for , for and for in above formula.

.

Find the coordinate of .

and

Substitute for , for , for and for in above formula.

.

Find the coordinate of .

and

Substitute for , for , for and for in above formula.

.

Graph:

Draw the coordinate plane.

Plot the points and connect the plotted points.

Calculate the lengths of the medians.

Calculate the distance between two points by using formula,

.

Calculate length of the .

  and 

Substitute for , for , for and for in above formula.

.

Calculate length of the .

  and .

Substitute for , for , for and for in above formula.

.

Calculate length of the .

  and .

Substitute for , for , for and for in above formula.

.

Lengths of the medians of the triangle are , and  .