The quadrilateral below would also have this property, because it has an inscribed circle tangent to four of its sides:

da3ac125-d889-4529-9beb-0b7916de2619-image.png

The question is, can any quadrilateral have a circle inscribed within it? It is not always possible to have an inscribed circle which touches every single side of the quadrilateral. Like, for example, this:

d26871dc-a291-4015-bb5e-70aea65a83de-image.png

Here the circle is only tangent to three of the sides of the quadrilateral, not four, so the area property doesn't hold.

I hope this helps! Please let us know if you have any more questions!

Happy Learning!

The Daily Challenge Team

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