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Question
The coordinates of the vertices of ΔABC are respectively (–4, –2), (6, 2) and (4, 6). The centroid G of ΔABC is ______.
Options
(2, 2)
(2, 3)
(3, 3)
(0, –1)
MCQ
Fill in the Blanks
Solution
The coordinates of the vertices of ΔABC are respectively (–4, –2), (6, 2) and (4, 6). The centroid G of ΔABC is (2, 2).
Explanation:
Coordinates of the centrioid G of ΔABC
= `((x_1 + x_2 + x_3)/3, (y_1 + y_2 + y_3)/3)`
= `((-4 + 6 + 4)/3, (-2 + 2 + 6)/3)`
= (2, 2)
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Centroid of a Triangle
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