The coordinates of the centroid of a triangle and those of two of its vertices are respectively `(2/3, 2), (2, 3), (-1, 2)`. Find the area of the triangle.

The coordinates of centroid of a triangle are (sqrt(3), 2) and two of its vertices are (2sqrt(3), -1) and (2sqrt(3), 5) . Find the third vertex of the triangle.

If (1,4) is the centroid of a triangle and the coordinates of its any two vertices are (4,-8) and (-9,7), find the area of the triangle.

Find the coordinats of the centroid and circumcentre of the triangle whose vertices are (2, 3) (3, 4) and (6, 8) and hence find the coordinats of its orthocentre.

Find the coordinates of the centroid of the triangle whose vertices are (x_1,y_1,z_1) , (x_2,y_2,z_2) and (x_3,y_3,z_3) .

Find the coordinates of the orthocentre of the triangle whose vertices are (1, 2), (2, 3) and (4, 3).

Find the coordinates of the orthocentre of the triangle whose vertices are (0, 1), (2, -1) and (-1, 3)

Find the third vertex of a triangle, if two of its vertices are at (-3,\ 1) and (0,\ -2) and the centroid is at the origin.

Write the coordinates of third vertex of a triangle having centroid at the origin and two vertices at (3,-5, 7) and (3,0,1).

If a vertex of a triangle is (1, 1) and the mid-points of two side through this vertex are (-1, 2) and (3, 2), then centroid of the triangle is

If the coordinates of the mid-points of the sides of a triangle are (1,\ 1),\ (2,\ -3) and (3,\ 4) , find the vertices of the triangle.