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Use the figure to find the measures. Apothem=

Use the figure to find the measures. Apothem=-example-1
User Magdalina
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Answer: The answer is 2√3

User Tanmay Bhatnagar
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see the attached picture with letters to better understand the problem

we know that
the figure is a regular hexagon

A regular hexagon has:

Interior Angles of 120°
so
in the triangle ABC
BC=2 units
∠ABC=30°
∠BAC=60°

tan 30°=AC/BC
solve for AC
AC=BC*tan 30°-------> AC=2*(√3)/3
Apothem is equal to AC
Apothem=(2/3)√3

the answer is
(2/3)√3

Use the figure to find the measures. Apothem=-example-1
User Mark McGinty
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7.7k points

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