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Mathematics 21 Online
OpenStudy (mven):

Help Please Find the following measure for this figure Apothem = ?? https://oconomowoc.owschools.com/media/g_geo_2012/8/group104.gif

OpenStudy (mven):

Apothem = ??

OpenStudy (mven):

@zimmah any ideas ?

OpenStudy (pinklion23):

you still need help

OpenStudy (mven):

yeah

OpenStudy (pinklion23):

okay so do you know the height of the triangle

OpenStudy (mven):

honestly, I took a test and this was on it. i never saw it in any of my lessons. so i have no idea how to do it.

OpenStudy (mven):

and sorry. I think the website went down. @pinnklion23

OpenStudy (igreen):

Does it tell you the radius?

OpenStudy (pinklion23):

no it did not

OpenStudy (pinklion23):

yes and you need to know the height of the triangle to do the rest of the problem :)

OpenStudy (mven):

that was all it gave me

OpenStudy (pinklion23):

oh wow idk how to find the height of the triangle with only half the base :(

OpenStudy (mven):

haha i know thats what i ran into also

OpenStudy (igreen):

\(\sf apothem = \dfrac{s}{2 tan(\dfrac{180}{n})}\)

OpenStudy (pinklion23):

hey i have to run sorry if only i knew the height i could help you through this in a split sorry again hope you find the answer :)

OpenStudy (igreen):

Where 's' is the side length and 'n' is the number of sides.

OpenStudy (mven):

thanks and no problem Igreen is here to help

OpenStudy (igreen):

\(\sf apothem = \dfrac{8}{2 tan(\dfrac{180}{6})}\) 180 / 6 = ?

OpenStudy (mven):

30

OpenStudy (igreen):

Yes, now find tan 30 degrees

OpenStudy (mven):

0.57?

OpenStudy (igreen):

Yep, now multiply by 2.

OpenStudy (mven):

1.154

OpenStudy (igreen):

Yep, now divide 8 / 1.54

OpenStudy (mven):

then 6.93 ?

OpenStudy (igreen):

1.154*

OpenStudy (igreen):

Yep, that's our answer.

OpenStudy (mven):

awesome, thanks again

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