If A(–1, 0), B(5, –2) and C(8, 2) are the vertices of a ΔABC then its centroid is ______.

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If A(–1, 0), B(5, –2) and C(8, 2) are the vertices of a ΔABC then its centroid is (4, 0). Explanation: The centroid G of triangle with vertices A(x1, y1), B(x2, y2), C(x3, y3) has coordinates `G((x_1 + x_2 + x_3)/3, (y_1 + y_2 + y_3)/3). Here x = (-1 + 5 + 8)/3 = $\frac{12}{3}$ = 4 And y = (0 + (-2) + 2)/3 = $\frac{0}{3}$` = 0 So, G = (4, 0).

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