Question

A plane cuts the axes in A, B, C and the centroid of the triangle
ABC is (a, b, c). Show that the equation of the plane is
x/a + y/b + z/c = 3​

Answer 1

Answer:

A(a,0,0),B(0,b,0),C(0,0,c) are the points on coordinate axis and centriod (α,β,γ).

According to centroid formula,

α= a/3

a=3α

b=3β

c=3γ

Equation of plane is,

x/a + y/b + z/c = 1

x/α + y/β + z/γ = 3

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