If one diagonal of a square is along the line `8 x- 15 y = 0` and one of its vertex is at (1,2). Find the equations of the sides of the square passing through this vertex.

One side of a rectangle lies along the line 4x + 7y +5=0. Two of its vertices are (-3, 1) and (1, 1).Find the equations of the other three sides.

Two sides of a square lie on the lines x+y-1=0 and x+y+2 then its area is:

Equation of the base of an equilateral triangle is 3x + 4y = 9 and its vertex is at point (1,2) .Find the equations of the other sides and the length of each side of the triangle .

The center of a square is at the origin and its one vertex is A(2,1) . Find the coordinates of the other vertices of the square.

One side of a square is inclined to the x-axis at an angle alpha and one of its extremities is at the origin. If the side of the square is 4, find the equations of the diagonals of the square.

A vertex of an equilateral triangle is (2,3) and the opposite side is x+y=2. Find the equations of other sides.

If the length of the diagonal of a square is 8 cm, then find its area.

Find equation of the line parallel to the line 3x-4y+ 2=0 and passing through the point (-2, 3).

Find the equation of line perpendicular to x - 2y +3=0 and passing through the point (3,-2) .