Question
The vertices of triangle ABC are A(2, 3), B(8, 5) and
C(5, −1). Find the coordinates of the centroid of the triangle.Solution
Centroid G of triangle with vertices (x₁, y₁), (x₂, y₂), (x₃, y₃): G = ( (x₁ + x₂ + x₃)/3 , (y₁ + y₂ + y₃)/3 ) Here: x₁ = 2, y₁ = 3 x₂ = 8, y₂ = 5 x₃ = 5, y₃ = −1 x-coordinate of centroid = (2 + 8 + 5)/3 = 15/3 = 5 y-coordinate of centroid = (3 + 5 − 1)/3 = 7/3 So centroid is G(5, 7/3).
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