∆ABC has vertices: (0,0) , (12,6) , (18,0). Find the equations of the lines that contain the three medians of the triangle.

Question

∆ABC has vertices: (0,0) , (12,6) , (18,0). Find the equations of the lines that contain the three medians of the triangle.

Answer 1

The medians are harder (and messier) than the altitudes.

You need to find the midpoints of each side.

Remember that if the co-ordinates of a line segment are (a,b) and (c,d), then the co-ordinates of the midpoint are [(a+c)/2,(b+d)/2].

The you need to use the 2 point formula to get the equations from each vertex to the opposite midpoint.