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Which one of the followings is constructible by using compass and straightedge? Why A. regular 7-gon B. regular...

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Question

Basic Math

Which one of the followings is constructible by using compassand straightedge? Why

A. regular 7-gon

B. regular 37-gon

C. regular 85-gon

D. regular 97-gon

Answer & Explanation Solved by verified expert
4.2 Ratings (484 Votes)
Restating the GaussWantzel theorem A regular ngon is constructible with straightedge and compass if and only if n 2kp1p2pt where k and t are nonnegative integers and the pis when t 0 are distinct Fermat primes The five known Fermat primes are F0 3 F1 5 F2    See Answer
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