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  • Find the third vertex of triangle whose centroid is origin and two vertices are (2, 4, 6) and (0, minus 2, minus 5)

Find the third vertex of triangle whose centroid is origin and two vertices are (2, 4, 6) and (0, –2, –5).

Answers (1)

Given:

Vertices of triangle,

B(2, 4, 6), C(0,-2,-5)

& centroid of triangle, G is (0,0,0)

Let us assume that the unknown vertex of the triangle is A(x,y,z).

Thus,

(0,0,0) ≡  ((2+0+x)/3, (4-2+y)/3, (6-5+z)/3)

Now, when we compare the coordinates, we get,

2+x/3 = 0, thus, x = -2

2+y/3 = 0, thus, y = -2

& 1+z/3 = 0, thus, z = -1.

Posted by

infoexpert22

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