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. (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.

A(4,2),B(6,5) and C(1,4) are the vertices of ABC. The median from A meets BC in D Find the coordinates of the point D

The points A (x_(1),y_(1)), B (x_(2),y_(2)) and C (x_(3),y_(3)) are the vertices of triangle ABC. (i) The median from A Meets Bc at D. Find the coordinates of the points 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 . What are the coordinates of the centroid of the triangle ABC?

A(4,2),B(6,5) and C(1,4) are the vertices of ABC. Find the coordinates of the points Q and R on medians BE and CF respectively such that BQ:QE=2:1 and CR:RF=2:1. What do you observe?

A(4,2),B(6,5) and C(1,4) are the vertices of ABC. Find the coordinates of point P on AD such that AP:PD=2:1.

If A (1, 5), B (-2, 1) and C (4, 1) be the vertices of DeltaABC and internal bisector of /_A meets BC at D , find AD .

If A(4, 2), B(6, 5) and C(1, 4) be the vertices of Delta ABC and AD is a median, then the coordinates of D are

A(4,2), B(6,5) and C(1,4) are the vertices of triangle ABC Find coordinates of points P on AD such that AP : PD= 2: 1 .

Find the coordinates of the point which divides the join of the points P(5,4,-2) and Q(-1,-2,4) in the ratio 2:3

If A(5,-1),B(-3,-2) and (-1,8) are the vertices of triangle ABC,find the length of median through A and the coordinates of the centroid.