Q. 164.3( 3 Votes )

# 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.

Answer :

Given; Triangle ABC having vertices A (a, 1, 3), B (– 2, b, – 5) and C (4, 7, c) and origin is the centriod.

For a triangle the coordinates of the centroid is given by the average of the coordinates of its vertices.

Rate this question :

The ratio in which the line joining the points (a, b, c) and (-1, -c, -b) is divided by the xy-plane is

RD Sharma - MathematicsThe ratio in which the line joining (2, 4, 5) and (3, 5, -9) is divided by the yz-plane is

RD Sharma - MathematicsTwo vertices of a triangle ABC are A(2, -4, 3) and B(3, -1, -2), and its centroid is (1, 0, 3). Find its third vertex C.

RS Aggarwal - MathematicsThe midpoints of the sides of a triangle are (1, 5, -1), (0, 4, -2) and (2, 3, 4). Find its vertices.

RS Aggarwal - MathematicsIf the origin is the centroid of triangle ABC with vertices A(a, 1, 3), B(-2, b, -5) and C(4, 7, c), find the values of a, b, c.

RS Aggarwal - MathematicsIf the three consecutive vertices of a parallelogram be A(3, 4, -3), B(7, 10, -3) and C(5, -2, 7), find the fourth vertex D.

RS Aggarwal - MathematicsThe vertices of a triangle ABC are A(3, 2, 0), B(5, 3, 2) and C(-9, 6, -3). The bisector AD of ∠ A meets BC at D, find the fourth vertex D.

RS Aggarwal - Mathematics