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Given this regular pentagon and the side measurement of 6, find
the length of the apothem. round your answer to the nearest
hundredths.

Sagot :

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The length of apothem for a regular pentagon and the sidemeasurement of 6 is 4.13 unit

What is apothem?

Apothemis a line segment from the center to the midpoint of one of the sides of a regular polygon .

The length of apothem (a) is given by:

[tex]a=\frac{s}{2*tan(\frac{180}{n} )} \\\\Where\ n\ is\ number\ of\ sides\ and\ s=side\ length\\\\Given:\\n=5,s=6, hence:\\\\a=\frac{6}{2*tan(\frac{180}{5} )}=4.13[/tex]

The length of apothem for a regular pentagon and the sidemeasurement of 6 is 4.13 unit

Find out more on apothem at: https://brainly.com/question/369332

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