Question

Show that the centroid of the triangle with vertices (-a,0),(a,0), and (b,c) is the point of intersection of the medians

Answer 1

median is the line joining an axis and the mid point of the opposite line
so find equations of any two medians as
a(-a,0);b(a,o);c(b,c)
equation of 'a' and mid point of 'b'and'c'
equation of 'b' and midpoint of 'a' and 'c'
now find the point of intersection of both the lines it gives centroid