How the minimum diagram is traingle?

Hi team,

The question says quadrilateral and not triangle? Could you tell mw why the minimum looks like a triangle?

When is the area of the inscribed quadrilateral maximised?

when the four sided polygon is regular.

And a square is one such example. Can you now solve the original problem using that as a hint?

Sorry for the late reply. The question is asking what is the max and min area inscribed in a circle. I am unable to understand how the minimum area would lead to triangle? I understood the maximum area, but unable to figure out the minimum area of a quadrilateral? Is it that by default the minimum area of quadrilateral leads to triangle always?

I just understood how it would be triangle. One of the side would collapse to get the minimum area of a quad. Please ignore my previous query.