In the figure, find the length of the side represented by x.

An equilateral triangle is inscribed in the parabola y^2=4 a x , where one vertex is at the vertex of the parabola. Find the length of the side of the triangle.

A 50 centimetre long rod is to be cut into two pieces, one of which is to be bent to form a square and other is to be bent to form an equilateral triangle. The length of a side of the equilateral is twice the length of the side of a square. Find the length of the side of a square and equilateral triangle.

A window is in the form of a rectangle surmounted by a semicircle as shown in the figure. If r is the radius of the semicircle and x is the length of the larger side of the rectangleThe perimeter of the window is 5 metres Find the area of the window in terms of r.

The Given figure represents a cylinder inscribed in a sphere. Figure Find the height of the cylinder when its volume V is maximum.

Let ABCD be a parallelogram with sides as given in the figure. Find the distance between the sides AB and DC.

The following figure represents