Q. 75.0( 1 Vote )

# Write the coordin

Given: The coordinates of the A and B of the triangle ABC are (3, -5, 7) and (3, 0, 1) respectively. The centroid of the triangle is (0, 0, 0)

To find: the coordinates of vertex C

Formula used:

Centroid of triangle ABC whose vertices are A(x1, y1, z1), B(x2, y2, z2) and C(x3, y3, z3) is given by,

Here A(3, -5, 7) and B(3, 0, 1)

Centroid of the triangle

On comparing:

6 + x3 = 0

x3 = –6

-5 + y3 = 0

y3 = 5

8 + z3 = 0

z3 = –8

Hence, coordinates of vertex C(-6, 5, -8)

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