7. Let A `(4, 2)` B`(6.,5)` and C`(1.,4)`. be the vertices of `DeltaABC`. (1) The median from A meets BC at D. Find the coordinates of the point D. (2) the coordinates of the point 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 :RF =2: 1`. (4) what do yo observe?

Let A (4, 2), B(6, 5) and C(1, 4) be the vertices of Delta A B C . (i) The median from A meets BC at D. Find the coordinates of the point D. (ii) Find the coordinates of the point P on AD such that AP : PD = 2 : 1 (iii) Find the coordinates of points Q and R on medians BE and CF respectively such that BQ : QE = 2 : 1 and CR : RF = 2 : 1.

Find the coordinates of points Q and R on medians BE and CF respectively such that BQ:CF =2:1 and CR:RF =2:1​

Let A (4, 2), B(6, 5) and C(1, 4) be the vertices of Delta A B C . (i) The median from A meets BC at D. Find the coordinates of the point D. (ii) Find the coordinates of the point P on AD such that AP : PD = 2 : 1 (iii) Find the coordinates of points Q and R on medians BE and CF respectively such that BQ : QE = 2 : 1 and CR : RF = 2 : 1. (iv) What do you observe? (v) If A(x_(1),y_(1)), B(x_(2),y_(2)) and C(x_(3),y_(3)) are the vertices of ∆ ABC, find the coordinates of the centroid of the triangle.

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

Let a(4, 2), B(6, 5) and C(1, 4) be the vertices of Delta ABC . The median from A meets BC at D. Find the coordinates of the point D.

Let A (4, 2). B (6, 5) and C (1, 4) be the vertices of Delta ABC. i The median from A meets BC at D. Find the coordinates of point D.

Find the coordinates of the point P on AD such that AP : PD = 2 : 1.

Find the coordinates of the point P on AD such that AP : PD = 2 : 1.