The above is an excerpt from a magazine called Pi in the Sky to which I was introduced by Danesh Forouhari back in 2006. Danesh one day sent me his contribution involving triangle inequalities which can be seen here in issue #10.
I deduced some stuff which is basically laid out above (extended the same theorem to cyclic quadrilaterals) and Danesh graciously sent it over to the editorial folks who published them in their latest issue. I am happy to add a really small drop to the ocean that was explored by Brahmagupta & company when they were at Ujjain
The next challenge is to generalise the same result for cyclic polygons (have a feeling it could be deduced but not sure exactly how..). This makes my day :)
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