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Mar 2, 2022 at 7:22 vote accept Nandakumar R
Mar 2, 2022 at 7:23
Nov 8, 2019 at 16:59 comment added Nandakumar R It is not clear immediately if a similar negative answer holds for the second question - the largest triangle contained within C. Even in the case of the first question, one could ask for that mirror symmetric C for which taking the smallest isosceles container aligned along the axis of C gives the worst answer to the question of the smallest containing triangle and also when the answers to the area and perimeter questions will differ most.
Nov 8, 2019 at 16:51 comment added Nandakumar R The example is quite simple and nice; it also appears to show that the smallest containing triangle need not even be isosceles!
Nov 8, 2019 at 15:46 history answered Robert Israel CC BY-SA 4.0