Q. 65.0( 1 Vote )

# If the origin is

Given: The coordinates of the A, B and C of the triangle ABC are (a, 1, 3), (-2, b, -5) and (4, 7, c) respectively. The centroid of the triangle is (0, 0, 0)

To find: the values of a, b, 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(a, 1, 3), B(-2, b, -5) and C(4, 7, c)

Centroid of the triangle   On comparing: a + 2 = 0

a = –2 b + 5 = 0

b = –5 c – 2 = 0

c = 2

Hence, values of a, b and c are -2, -5, 2

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