The vertices of a triangle `ABC` are `A(0, 0), B(2, -1) and C(9, 2)`, find `cos B`.

The vertices of a triangle are A(a,0)B(0,b)and C(a,b)

The mid-points of the sides of a triangle ABC are given by A(0, 0, 0), B(2, -1, 3) and C(4, 5, 8) Find the coordinates of A, B and C.

The vertices of a triangle are A(10,4) ,B(-4,9) and C(-2,-1). Find the equation of the altitude through A.

The co-ordinates of the vertices of Delta ABC are A(3, 2), B(1, 4) and C(-1, 0) . Find the length of median drawn from point A.

If the vertices A, B, C of a triangle ABC are (1, 2, 3), (1, 0, 0), (0, 1, 2) , respectively, then find /_A B C . [ /_A B C is the angle between the vectors vec( B A) and vec (B C) .

Find the co-ordinates of the centroid of a triangle ABC whose vertices are : A(-1, 3), B(1, -1) and C(5, 1)

The vertices A, B, C of a triangle ABC have co-ordinates (4,4), (5,3) and (6,0) respectively. Find the equations of the perpendicular bisectors of AB and BC, the coordinates of the circumcentre and the radius of the circumcircle of the triangle ABC.

In the triangle ABC with vertices A (2, 3), B (4, -1) and C (1, 2), find the equation and length of altitude from the vertex A.

In the triangle ABC with vertices A (2, 3), B (4, 1) and C (1, 2), find the equation and length of altitude from the vertex A.

Find the coordinates of the vertices of a square inscribed in the triangle with vertices A(0, 0), B (2, 1) and C(3, 0) , given that two of its vertices are on the side AC .