Home
Class 11
MATHS
In convex quadrilateral A B C D ,A B=a ,...

In convex quadrilateral `A B C D ,A B=a ,B C=b ,C D=c ,D A=d` . This quadrilateral is such that a circle can be inscribed in it and a circle can also be circumscribed about it. Prove that `tan^2A/2=(b c)/(a d)dot`

Promotional Banner

Similar Questions

Explore conceptually related problems

In the quadrilateral ABCD shown below, A B=A D, B C=C D Compute all the angles of the quadrilateral.

A quadrilateral ABCD is drawn to circumscribe a circle. Prove that A B+C D=A D+B C

A quadrilateral ABCD is drawn to circumscribe a circle. Prove that A B+C D=A D+B C

A quadrilateral ABCD is drawn to circumscribe a circle. Prove that A B+C D=A D+B C

In a cyclic quadrilateral A B C D if A B C D a n d /_B=70^0, find the remaining angles.

In a quadrilateral A B C D , /_B=90^o , A D^2=A B^2+B C^2+C D^2 , prove that /_A C D=90^o

Construct a quadrilateral A B C D in which A B=B C=3c m ,\ A D=C D=5c m\ a n d\ /_B=120^0dot

In a quadrilateral A B C D ,\ \ /_B=90o . If A D^2=A B^2+B C^2+C D^2 then prove that /_A C D=90o .

If A B C D is a cyclic quadrilateral in which A D || B C . Prove that /_B=/_C

In a quadrilateral A B C D , the angles A ,\ B ,\ C\ a n d\ D are in the ratio 1:2:4:5 . Find the measure of each angles of the quadrilateral.