A cyclic quadrilateral `A B C D` of areal `(3sqrt(3))/4` is inscribed in unit circle. If one of its side `A B=1,` and the diagonal `B D=sqrt(3),` find the lengths of the other sides.

In a cyclic quadrilateral A B C D , if /_A=3 /_C . Find /_A

If the sides of a cyclic quadrilateral are 3,3,4,4, show that a circle be inscribed in it.

The area of a cyclic quadrilateral ABCD is (3sqrt3)/4 . The radius of the circle circumscribing cyclic quadrilateral is 1.If AB =1 and BD =sqrt3 , then BC*CD is equal to

In cyclic quadrilateral ABCD,/_A=3/_C and /_D=5 /_B . Find the measure of each angle of the quadrilateral.

(c) 103 (d) 10 18. A circle is inscribed in an equilateral triangle with side lengths 6 unit. Another circle is drawn inside the triangle (but outside the first circle), tangent to the first circle and two of the sides of the triangle. The radius of the smaller circle is (b) 2/3 (a) 1/ root3 (c) 2 (d) 1

A circle is inscribed in an equilateral triangle A B C of side 12 cm, touching its sides (Figure). Find the radius of the inscribed circle and the area of the shaded part.

In a cyclic quadrilateral ABCD angle A : angle C = 3: 1 and angle B : angle D = 1 : 5 find each angle of the quadrilateral

An equilateral triangle S A B is inscribed in the parabola y^2=4a x having its focus at Sdot If chord A B lies towards the left of S , then the side length of this triangle is 2a(2-sqrt(3)) (b) 4a(2-sqrt(3)) a(2-sqrt(3)) (d) 8a(2-sqrt(3))

The two adjacent sides of a cyclic quadrilateral are 2a n d5 and the angle between them is 60^0dot If the area of the quadrilateral is 4sqrt(3) , find the remaining two sides.

The two adjacent sides of a cyclic quadrilateral are 2a n d5 and the angle between them is 60^0dot If the area of the quadrilateral is 4sqrt(3) , find the remaining two sides.