If the origin is the centroid of triangle ABC with vertices A(a, 1, 3), B(-2, b, -5) and C(4, 7, c), find the values of a, b, c.

Question

Philoid · Accepted Answer

Since, centroid of a triangle is found by

The points are A(a,1,3) and B(-2, b, -5), and its centroid is (0, 0, 0) and its third vertex C(4,7,c).

Using the formula, we get

Equating it with the coordinates of centroid, we get

a = -2

b = -8

and,

c = 2

therefore, a= -2, b= -8, c=2.