# Answer to Question #266 in Geometry for Judith

Question #266

Can a closed polyline have sides the lengths of which are 1, 2, 3, 4 and 11 meters?

Expert's answer

No, it can’t. A closed polyline creates a closed polygon. And for any closed polygon the length of each side is less then the sum of lengths of all other sides. In our case 1+2+3+4=10<11, so this polyline can not be closed.

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