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

Prove that the two madians of a triangle divide each other 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.]

What change do you observe if you test soap with litmus paper?

A line perpendicular to the line segment joining the points (1, 0) and (2, 3) divides it in the ratio 1: n. Find the equation of the line.

Let A (4, 2), B (6, 5) and C (1, 4) be the vertices of ΔABC.The median from A meets BC at D Find the points which divide the line segment BE in the ratio 2 : 1 and also that divide the line segment CF in the ratio 2 : 1.

If the angles of a triangle are in the ratio 1 : 2 : 3 , then the sides are in the ratio :

If a and b are position vector of two points A,B and C divides AB in ratio 2:1, then position vector of C is

What do you observe in activity given in the figure? What are the causes of these observations explain giving reaction ?

Find the corrdinates of the point which divides the join of (-1, 7) and (4, -3) into the ratio 2 : 3 internally.