Centroid divides each median in ratio 2:1.

State Apollonius Theorem and Centroid divides median in the ratio 2:1?

Let a(4, 2), B(6, 5) and C(1, 4) be the vertices of Delta ABC . What do you observe ? [Note : The point which is common to all the three medians is called the centroid and this point divides each median in the ratio 2 : 1.]

Let A(4,2), B(6,5) and C(1,4) be the vertices of Delta ABC (1) The median from A meets BC at D. Find the coordinates of the points D. (2) Find the coordinates of the points P on AD such that AP : PD = 2 : 1 (3) Find the coordinates of points Q and R on medians BE and CF respectively such that BQ : QE = 2 : 1 and CR : RE = 2 : 1 (4) What do you observe ? [Note : The point which is common to all the three medians is called the centroid and this point divides each median in the ratio 2 : 1 ] (5) If A(x_(1), y_(1)), B(x_(2), y_(2)) and C(x_(3),y_(3)) are the vertices of Delta ABC find the coordinates of the centroid of the triangle

Choose the correct alternative answer for each of the following question. The centroid divides the median in the ratio ……..

LetA(4,2),B(6,5)andC(1,4)betheverticesof DeltaABC . What do you observe ? Justify the point that divides each median in the ratio. 2:1 is the centroid of a triangle.

What do you observe ? Justify the point that divides each median in the ratio 2 : 1 is the centriod of a traingle . (AS_(3))

What do you observe? Justify that the point that divides each median in the ratio 2 : 1 is the centriod of a triangle.

The centroid divides each median in the ……………ratio.