Q. 125.0( 5 Votes )

# The centroid of a

Answer :

Given: The coordinates of the A and B of the triangle ABC are (3, -5, 7) and (-1, 7, -6) respectively. The centroid of the triangle is (1, 1, 1)

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(-1, 7, -6)

Centroid of the triangle   On comparing: 2 + x3 = 3

x3 = 3 – 2

x3 = 1 2 + y3 = 3

y3 = 3 – 2

y3 = 1 1 + z3 = 3

z3 = 3 – 1

z3 = 2

Hence, coordinates of vertex C(1, 1, 2)

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