Centroid Of A Triangle Ratio. It is one of the points of concurrency of a triangle. Median of a Triangle.
It can be found by taking the average of x- coordinate points and y-coordinate points of all the vertices of the triangle. The centroid is the intersection of the three medians. The three medians also divide the triangle into six triangles each of which have the same area.
The point through which all the three medians of a triangle pass is called centroid of the triangle and it divides each median in the ratio 21.
In the above figure AG 2 3 AD and DG 1 3 AD. The centroid theorem states that the centroid of the triangle is at 23 of the distance from the vertex to the mid-point of the sides. Show--so for each median say this median AM here where M is the midpoint of side BC there exists a point on the median that divides it into a 21 ratio so the point thats 23 from the vertex to. It is one of the points of concurrency of a triangle.
