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Pentagon and a circle

Geometry Level 2

We've inscribed a circle into a pentagon, as shown in the diagram.

Is it possible that the side lengths of the pentagon are \[1, 2, 3, 4, 6\] in some order?

Yes, it's possible No, it's not possible

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Excel in math and science

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It's hard to learn from lectures and videos

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Used and loved by over 6 million people

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including olympiad champions, researchers, and professionals.

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by Áron Bán-Szabó

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