Question
In triangle ABC, the vertices are A(1, 2), B(7, 4) and
C(4, 8). Find the coordinates of the centroid of the triangle.Solution
Centroid G(x, y) = ((x₁ + x₂ + x₃)/3 , (y₁ + y₂ + y₃)/3) x-coordinate = (1 + 7 + 4)/3 = 12/3 = 4 y-coordinate = (2 + 4 + 8)/3 = 14/3 So centroid G is (4, 14/3).
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