If the numerical value of the perimeter of an equilateral triangle is √3 times the area of it, then the length of each side of the triangle is:

PQRS is square whose side is 20 cm. By joining opposite vertices of PQRS are get four triangles. What is the sum of the perimeters of the four triangles?

What is the length of the radius of the circumcircle of the equilateral triangle, the length of whose side is 6√3 cm?

The length of the common chord of two intersecting circles is 24 cm. If the diameter of the circles are 30 cm and 26 cm, then the distance between the center (in cm) is 

The diagonals AC and BD of a cyclic quadrilateral ABCD intersect each other at the point P. Then, it is always true that 

O is the incentre of ∆ABC and ∠A = 30° then ∠BOC is

ABCD is cyclic quadrilateral Sides AB and DC, when produced, meet at E, and sides BC and AD, When produced, meet at F. If ∠BFA=60° and ∠AED=30°, then the measure of ∠ABC is:

In the figure below, find the value of AB.