alleryGauss showed in 1796 that a regular polygon with how many sides can be constructed?
A7 sides
B9 sides
C13 sides
D17 sides
Answer & Solution
Correct answer: D. 17 sides
1. In 1796 Gauss showed a regular 17-sided polygon is constructible.
2. Five years later he gave a sufficient condition for any n-sided polygon.
3. Polygons with 7, 9 and 13 sides are not constructible.
_Source: Wikipedia, Straightedge and compass construction, section History_
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