If area of `/_\ABC` is 12 square units and vertices are A (x, 2), B (4, - 1) and C (- 3, 7), then find the value of x.

If |(x,x),(1,2)| =|(3,4),(1,2)| then find positive value of x.

For the triangle ABC whose vertices are A (-2, 3), B (4, - 3) and C (6, 5), find the equation of : the altitude from A.

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

Find the area of the triangle whose vertices are : A(1,2,3), B(2,-1,4) and C(4,5,-1)

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