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Mathematics 19 Online
OpenStudy (anonymous):

why a regular hendecagon does not tessellate.

OpenStudy (unklerhaukus):

how many sides does it have? how big are its internal angles? how many of the shapes can share a common vertex?

OpenStudy (anonymous):

its just a question

OpenStudy (unklerhaukus):

you have to know the answer to these three before you can know the answer to the origional

OpenStudy (unklerhaukus):

hendeca- means 11 and -gon mean corners |dw:1341496788909:dw|

OpenStudy (anonymous):

ok

OpenStudy (unklerhaukus):

so it has 11 sides too. that is the first answer,

OpenStudy (unklerhaukus):

the internal angles in the \(n\)-gon polygon can be found with this formula \[\theta=(n-2) × 180° / n\]

OpenStudy (unklerhaukus):

|dw:1341497794453:dw|

OpenStudy (anonymous):

but i dont know how to use formulas

OpenStudy (unklerhaukus):

|dw:1341497930679:dw| if \(a\) amount that can share a common vertex is \[a\times\theta° <360°\]or else the will be overlapping

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