What will be the centroid of the ∆ABC whose vertices are A(-2, 4), B(0, 0) and C(4, 2)?(a) (\(\frac {2}{3}\), 2)(b) (\(\frac {2}{3}\), 1)(c) (\(\frac {2}{5}\), 2)(d) (\(\frac {1}{3}\), 2)This question was addressed to me during an online interview.The query is from Geometry in chapter Coordinate Geometry of Mathematics – Class 10

What will be the centroid of the ∆ABC whose vertices are A(-2, 4), B

1.	What will be the centroid of the ∆ABC whose vertices are A(-2, 4), B(0, 0) and C(4, 2)?(a) (\(\frac {2}{3}\), 2)(b) (\(\frac {2}{3}\), 1)(c) (\(\frac {2}{5}\), 2)(d) (\(\frac {1}{3}\), 2)This question was addressed to me during an online interview.The query is from Geometry in chapter Coordinate Geometry of Mathematics – Class 10
Answer» The correct option is (a) (\(\FRAC {2}{3}\), 2) Explanation: We know, xcentroid = \(\frac {x_1+x_2+x_3}{3}\) and ycentroid = \(\frac {y_1+y_2+y_3}{3}\) xcentroid = \(\frac {-2+0+4}{3} = \frac {2}{3}\) ycentroid = \(\frac {4+0+2}{3}\) = 2 The coordinates of the centroid are (\(\frac {2}{3}\), 2).

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