Cyclic Quadrilateral ?

Revision en1, by rob_in_1, 2018-02-08 17:03:00

Can we always form a cyclic quadrilateral using 4 side lengths? I was solving this problem on SPOJ http://www.spoj.com/problems/QUADAREA/. In order to find the maximum area of quadrilateral with side lengths given, I applied Brahmagupta's formula K={\sqrt {(s-a)(s-b)(s-c)(s-d)}}\, and i got AC. I am wondering, is that always possible? Is there any proof?

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en1 English rob_in_1 2018-02-08 17:03:00 386 Initial revision (published)