Two vertices of a triangle are (4,-6,3) and (2,-2,1) and its centriod is `(8/3,-1,2)`, Find the third vertex.

Two vertices of a traingle are (2,-6,4) and (4,-2,3) and its centroid is (8/3,-1,3) . Find the third vertex.

Two vertices of a triangle are (-1, 4) and (5, 2). If its centroid is (0, -3), find the third vertex.

Two vertices of a triangle are (3,- 1) and (- 2, 3) and its orthocentre is at the origin. Find the co-ordinates of the third vertex.

Vertices of a triangle are (-1, 3), (2, -1), (0, 0). Find its orthocentre.

The vertices of a triangle are (4, -3), (-2, 1) and (2, 3). Find the co-ordinates of the circumcentre of the triangle. [Circumcentre is the point of concurrence of the right-bisectors of the sides of a triangle.]

The vertices of a triangle are A (-2, 1), B (6, -2) and C (4, 3). Find the lengths of the altitudes of the triangle.

The equations of two sides of a triangle are 3x-2y+6=0\ a n d\ 4x+5y-20\ a n d\ the orthocentre is (1,1). Find the equation of the third side.

The vertices of triangle PQR are P (2, 1), Q (-2, 3) and R (4, 5). Find equation of the median through the vertex R.

The vertices of a triangle PQR are P(2, 1), Q (-2,3) and R (4, 5). Find the equation of the median through the vertex R.

If three consecutive vertices of a parallelogram are (3,4,-1),(7,10,-3) and (8,1,0), find the fourth vertex.