The mid -points of the sides of a triangle are `(1,5,-1),(0,4,-2)` and `(2,3,4)` . Find its vertices.

suppose that the mid point of the sides BC,CA and AB of a triangle Delta ABC are (5,7,11), (0,8,5) and (2,3,-1) If the vertices of the triangle are A(x_1,y_1,z_1), B(x_2,y_2,z_2) and C(x_3,y_3,z_3) derive nine equations in x_1,x_2,x_3,y_1,y_2,y_3,z_1,z_2, and z_3

Find the area of a triangle whose vertices are (-4,1) , (5,-3) and (2,3) .

The coordinates of the vertices of a triangle are '(1,2),(2,3),(3,1)'. Find the coordinates of the centre of its circumcircle and the circumradius.

Find the area of a triangle with vertices A(2,3,1),B(1,1,2) and C(1,2,1).

The coordinates of the vertices of a triangle are(-1,5),(3,7),(1,1).Find the coordinates of its centroid.

Find the area of the triangle whose vertices are (3,8),(-4,2) and (5,1)

Find the area of the triangle with vertices A(1,1,2),B(2,3,5) and C(1,5,5).

The end points of one side of an equilateral triangle are -2 and 4 on the number line. Find the area and perimeter of this triangle.

Find the direction cosines of the sides of the triangle whose vertices are '(3,5,-4),(-1,1,2)' and '(-5,-5,-2)'