In a cyclic quadrilateral ABCD, prove that `tan ^(2)""(B)/(2)=((s-a)(s-b))/((s-c)(s-d)),a,b,c, and d` being the lengths of sides ABC, CD and DA respectively and s is semi-perimeter of quadrilateral.

If any quadrilateral ABCD,prove that sin(A+B)+sin(C+D)=0cos(A+B)=cos(C+D)

19.ABCD is a rectangle having length (x1) and breadth (x-1). If P,Q,R and S are the mid- points of sides AB,BC,CD and DA respectively,then the perimeter of quadrilateral PQRS is

Prove that (s-a)tan((A)/(2))=(s-b)tan((B)/(2))=(s-c)tan((C)/(2))

The area of any cyclic quadrilateral ABCD is given by A^(2) = (s -a) (s-b) (s-c) (s-d) , where 2s = a + b ++ c + d, a, b, c and d are the sides of the quadrilateral Now consider a cyclic quadrilateral ABCD of area 1 sq. unit and answer the following question The minium perimeter of the quadrilateral is

The area of any cyclic quadrilateral ABCD is given by A^(2) = (s -a) (s-b) (s-c) (s-d) , where 2s = a + b ++ c + d, a, b, c and d are the sides of the quadrilateral Now consider a cyclic quadrilateral ABCD of area 1 sq. unit and answer the following question When the perimeter is minimum, the quadrilateral is necessarily

The area of any cyclic quadrilateral ABCD is given by A^(2) = (s -a) (s-b) (s-c) (s-d) , where 2s = a + b ++ c + d, a, b, c and d are the sides of the quadrilateral Now consider a cyclic quadrilateral ABCD of area 1 sq. unit and answer the following question The minimum value of the sum of the lenghts of diagonals is

In DeltaABC , Prove that (s-a) tan (A/2)=(s-b) tan (B/2)=(s-c) tan (C/2)

If ABCD is a cyclic quadrilateral,the value of (tan(A)/(2)(tan)(C)/(2)+(tan)(B)/(2)(tan)(D)/(2) is

Let ABCD be a rectangle. Let P, Q, R, S be the mid-points of sides AB, BC, CD, DA respectively. Then the quadrilateral PQRS is a

ABCD is a rectangle and P,Q,R and S are mid- points of the sides AB,BC,CD and DA respectively.Show that the quadrilateral PQRS is a rhombus.