Question: Let A (4, 2), B (6, 5) and C (1, 4) be the vertices of AABC. (i) The median from A meets BC at

Let A (4, 2), B (6, 5) and C (1, 4) be

Let A (4, 2), B (6, 5) and C (1, 4) be the vertices of AABC. (i) The median from A meets BC at D. Find the coordinates of point D. (ii) Find the coordinates of the point P on AD such that AP: PD = 2:1 (iii) Find the coordinates of point 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(x1, y1), B(x2, y2), and C(x3, Y3) are the vertices of AABC, find the coordinates of the centroid of the triangle.

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