Tough maths problem from Abhinav
Geometry
Level
3
True or False?
If a circle is inscribed in a quadrilateral and another circle circumscribe the same quadrilateral, thenthe area of the quadrilateral is √abcd. Where a, b, c & d are the sides of the quadrilateral.
No
Yes
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1 solution
We know that a+c= b+d=s. Where s is the semipereimeter. We know that the area of a concyclic quadrilateral is √(s-a)(s-b)(s-c)(s-d). Then s-a=c ,s-b=d , s-c=a ,s-d=b.