LET ABCD be a quadrilateral with area 18 ,with side AB parallel to the side CD and AB=2CD .Let AD be perpendicular to AB and CD .If a circle is drawn inside the quadrilateral ABCD touching all the side ,then it's radius is A 3 B 2 C 3/2 D 1?
Let CD=x then AB=2CD=2x.Let r be the radius of the circle inscribed in the quadrilateral ABCD.
Given: Area of quadrilateral ABCD=18 and ABis|| to CD.
Let ∠PCO=angleOCQ=θ then from right-angled ΔOPC
From (1) & (4) we get,
Hence (b) is the correct answer.