# Equations of Lines (Medians and Centroids)

1. 1
Given a triangle with vertices A(0,9), B(14,1) and C(-2,-1) find:

a) The equation of the median from A to BC.
b) The equation of the median from C to AB.
c) The centroid of the triangle ABC.
2. 2
Given a triangle with vertices A(-4,9), B(-6,-1) and C(10,1) find:

a) The equation of the median from A to BC.
b) The equation of the median from C to AB.
c) The centroid of the triangle ABC.
3. 3
Given a triangle with vertices A(1,10), B(-1,-6) and C(9,-4) find:

a) The equation of the median from A to BC.
b) The equation of the median from C to AB.
c) The centroid of the triangle ABC.
4. 4
Given a triangle with vertices A(0,9), B(14,1) and C(-2,-1) find the coordinates of the centroid. (Use the following formula):

$centriod =(\frac{x_1+x_2+x_3}{3}, \frac{y_1+y_2+y_3}{3})$

Note: These points are the same as question 1. This formula can be used to check your work !

$$e=mc^2$$