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33 votes
The given figure is a regular hexagon with side length 12 and radius 10. Find the length of the apothem a.Question options:A) 9B) 12C) 15.6D) 8

The given figure is a regular hexagon with side length 12 and radius 10. Find the-example-1
User Micole
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2.8k points

1 Answer

20 votes
20 votes

Okay, here we have this:

We obtain the following triangle:

So, we can see that we obtain a right triangle, considering this we are going to use the Pythagoras theorem:


10^2=6^2+a^2

Let's clear "a":


\begin{gathered} a=\sqrt[]{10^2-6^2} \\ a=\sqrt[]{100-36} \\ a=\sqrt[]{64} \\ a=8 \end{gathered}

Finally we obtain that the correct answer is the option D.

The given figure is a regular hexagon with side length 12 and radius 10. Find the-example-1
User Sam Mussmann
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2.5k points
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