If the sum of X-coordinates of the vertices of a triangle is 12 and the sum of Y-coordinates is 9, then the coordinates of centroid are ______.

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If the sum of X-coordinates of the vertices of a triangle is 12 and the sum of Y-coordinates is 9, then the coordinates of centroid are (4, 3). Explanation: Let P(x1, y1), Q(x2, y2), R(x3, y3) be the co-ordinates of the vertices of a triangle. Given that x1 + x2 + x3 = 12 and y1 + y2 + y3 = 9 $\therefore$ Co-ordinates of the centroid S(x, y) are x = (x_1 + x_2 + x_3)/3 and y = (y_1 + y_2 + y_3)/3 x = $\frac{12}{3}$ and y = $\frac{9}{3}$ x = 4 and y = 3 $\therefore$ S(x, y) = (4, 3)

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