Is it possible to construct an angle whose cosecant `=(1)/(2)` ?

Is it possible to construct an angle whose secant =(3)/(7) ?

Is it possible to construct an angle whose cosine =5.7 ?

Is it possible to construct an angle whose sine =(4)/(3) ?

Construct an isosceles triangle whose base is 8cm and altitude 4cm and then construct another triangle whose sides are (3)/(2) times the corresponding sides of the isosceles triangle.

What is the minimum possible possible perimeter for a rectangle whose area is 4 m^(2) ?

With the help of a ruler and a compass it is not possible to construct an angle of

Find the largest possible area of a right angled triangle whose hypotenuse is 5 cm long.

Find the largest possible area of a right angled triangle whose hypotenuse is 5cm long.

Construct a triangle ABC with AB = 4.5 cm, AC = 8 cm, and angle C = 30^(@) . Is such a triangle unique ? If another triangle with the same dimensions as given but a different shape is possible, then construct that triangle as well.

Construct an equilateral triangle whose side is 5 cm.