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The points A (x(1),y(1)), B (x(2),y(2)) ...

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?

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Let's solve the question step by step. ### Given: - Points A \((x_1, y_1)\), B \((x_2, y_2)\), and C \((x_3, y_3)\) are the vertices of triangle ABC. ### (i) Find the coordinates of point D where the median from A meets BC. **Step 1:** Identify that point D is the midpoint of line segment BC. ...
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