
Three circles each of diameter are drawn inside an equilateral triangle with perimeter such that each circle touches the other two and also other two sides then the ratio of radius of a circle to side of a triangle is _____.

Important Questions on Quadrilateral

In the given figure, is an isosceles triangle with . If and , then the measure of the angle is



If , find the value of





The rod of a TV disc antenna is fixed at right angles to the wall and a rod is supporting the disc as shown in the figure. If long and , find


Let be a square. An arc of a circle with as centre and as radius is drawn inside the square joining the points and . Points on on and on arc are taken such that is a square. Further suppose that and are parallel to . Then, is

The angles of a quadrilateral are in the ratio . Find the measure of each of these angles.


The three angles of a quadrilateral are . Find the measure of the fourth angle.


The quadrilateral formed by angle bisectors of a cyclic quadrilateral is a


The angles of a quadrilateral are in the ratio . Find the measure of each angle.

(i) Bisect each other
(ii) Are perpendicular bisectors of each other
(iii) Are equal

