Given: Centroid of triangle is (α, β, γ)
To find: Equation of plane.
Formula Used: Equation of plane is where (x, y, z) is a point on the plane and a, b, c are intercepts on x-axis, y-axis and z-axis respectively.
Centroid of a triangle
Let the equation of plane be
Therefore, A = 3α, B = 3β, C = 3γ where (a, b, c) is the centroid of the triangle with vertices (A, 0, 0), (0, B, 0) and (0, 0, C)
Substituting in (1),
Here a = α, b = β and c = γ
Therefore equation of required plane is
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