SOLUTION: find the number of sides of a regular polygon whose sides measure half of its apothem.

Question 1008887: find the number of sides of a regular polygon whose sides measure half of its apothem.
Answer by dkppathak(439) (Show Source): You can put this solution on YOUR website!
find the number of sides of a regular polygon whose sides measure half of its apothem.
we know that
Apothem=s/2tan(180/n) where s = length of side n is number of side
as per given condition Apothem is half of side =s/2
s/2=s/2tan(180/n) cancelling s and 2 both side
1=tan(180/n)
tan 45=tan(180/n)
45=180/n
n=180/45=4
so it is having 4 side
short cut
if apothem is half of side of regular polygon than center angle will be 90 degree
90=860/n
n=360/9= 4 side it means it is rhombus

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