A triangle is formed by the points `A(2,5) B(3, 8)` and `C(x, y).` If the centroid of `DeltaABC` is `(3,5)` then find the value of `8(1/x-1/y)`

If the centroid of the triangle formed by the points (a,b),(b,c) and (c,a) is at the origin, then find the value of a^(3)+b^(3)+c^(3).

A triangle is formed by the lines x+y=8,x- axisand Y-axis.Find its centroid.

The coordinates of the centroid of the triangle formed by joining the points ( x , -1, -2) , ( - 2 , y , 8) and ( 2 , - 4 , z) are (1 , 0 , 30 , find the values of x , y and z .

The centroid of the triangle formed by the points (1,a), (2,b) and (c^2,-3) by which condition the points lies on the x-axis

A(-4, 4), B(x, -1) and C(6,y) are the vetices of DeltaABC . If the centroid of this triangle ABC is at the origin, find the values of x and y.

The coordinates of the vertices of a triangle are (4, -3), (-5, 2) and (x, y). If the centroid of the triangle is at the origin, show that x=y=1 .

A : The centroid of the triangle formed by the points 2a + 3b, 5a + 4b, 2a - b is 3a + 2b. R : The centroid of the triangle formed by the points a, b, c is (a + b + c)/(3)

the vertex of triangle are A(1,4,7),B(2,6,3) and C(-2,5,8) then centroid

Two vertices of a triangle are A(2, 1) and B (3, -2) . The third vertex C lies on the line y=x+9 . If the centroid of DeltaABC lies on y-axis, find the coordinates of C and the centroid.