Consider the cyclic quadrilateral with sides 1, 4, 8, 7 in that order. What is its circumdiameter?
(In reply to
How my method must have gone wrong by Charlie)
I did it as you but I calculate manually getting 8.0627. It did not seem a beauty solution thought it was beautifully simple. Anyway I keep looking for other possible way.
But the right solution is sqrt(65), as in your post.
Indeed this should be alse Brian's solution, but he has an error in the transcription of the number 5265 (instead of 5625). Once fix it he also arrives to sqrt(65).

Posted by armando
on 20190316 04:27:02 