A Triangle with vertices X(0,0), Y(4,4) and Z(8,-4)

a) Write an equation for each of the three medians

b) Recall that the centroid is the point of intersection of the medians of the triangle. Use the equations from part a) to verify that (4,0) is the centroid of triangle XYZ.

Show all of your answers and write in standard form (Ax + By + C = 0)