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

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

Answers (1)

Given: Vertices of triangle ABC are-

A(z,1,3), B(-2,b,-5) & C(4,7,c)

& centroid, G = (0,0,0)

Thus, G(0,0,0) = G(a-2+4/3, 1+b+7/3, 3-5+c/3)

Thus, a+2/3 = 0

a = -2

b+8/3 = 0

b = -8

c-2/3 = 0

c = 2

Posted by

infoexpert22

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