Can the angles of a quadrilateral be determined with known side lengths?

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SUMMARY

Determining the angles of a quadrilateral solely based on the lengths of its four sides is not feasible. The discussion confirms that without equal side lengths, the angles remain indeterminate. Participants emphasize the inherent variability in the shape of the quadrilateral, leading to multiple possible configurations for the same side lengths. This conclusion highlights the limitations of side length information in defining angle measures.

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If the lengths of all 4 sides of a quadrilateral are known, and none of the sides have equal lengths, is it possible to find any of the angles somehow?
 
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Hi nb89! :smile:
nb89 said:
If the lengths of all 4 sides of a quadrilateral are known, and none of the sides have equal lengths, is it possible to find any of the angles somehow?

No … just try making one …

you'll find it's all wibbly-wobbly. :biggrin:​
 
Well said!
 

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