Hi everybody
Show that the centroid of a triangle coincides with that of the triangle formed by the mid points of the sides.
Thank you all
Sridhar
For a triangle, the centriod is just the "average" of the vertices. That is, if the vertices are , , and , in some coordinate system, then the centroid is at .
Of course, the midpoints of the sides are , , and . Use the formula above to find the centroid of that triangle.