Find a shape for which the area of the largest inscribed triangle is equal to the area of the largest inscribed square.

No doubt there are an infinity of such shapes, but you must find one that can be expressed by a simple equation of order 2 or less, combined with constraints on the domain and range.

In a quarter circle, eachnof the areas of the largest inscribed triangle and the llargest inscribed square is 1/2.

Posted by K Sengupta on 2024-05-13 11:02:13