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rebeccaskell94
Group Title
n the figure below, the length of line segment CB is 58 units and the length of line segment BG is 120 units. What is the length of line segment GE?
http://learn.flvs.net/webdav/assessment_images/educator_geometry_v14/pool_Geom_3641_0404_07/image0084e2ee688.gif
62√3
116
58√2
124
*I think the answer is C?*
 2 years ago
 2 years ago
rebeccaskell94 Group Title
n the figure below, the length of line segment CB is 58 units and the length of line segment BG is 120 units. What is the length of line segment GE? http://learn.flvs.net/webdav/assessment_images/educator_geometry_v14/pool_Geom_3641_0404_07/image0084e2ee688.gif 62√3 116 58√2 124 *I think the answer is C?*
 2 years ago
 2 years ago

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Pac1f1cIslander Group TitleBest ResponseYou've already chosen the best response.0
I would think B...
 2 years ago

asnaseer Group TitleBest ResponseYou've already chosen the best response.3
look at the first triangle ABC  notice it is a rightangled triangle and one of the angles is 45, so what would the other angle be?
 2 years ago

rebeccaskell94 Group TitleBest ResponseYou've already chosen the best response.0
45º?
 2 years ago

asnaseer Group TitleBest ResponseYou've already chosen the best response.3
correct  so that implies it is also isoceles
 2 years ago

asnaseer Group TitleBest ResponseYou've already chosen the best response.3
which means AB=BC=58
 2 years ago

Pac1f1cIslander Group TitleBest ResponseYou've already chosen the best response.0
Oh, they're both special triangles...one is 454590, the other is 306090
 2 years ago

rebeccaskell94 Group TitleBest ResponseYou've already chosen the best response.0
Agreed.
 2 years ago

asnaseer Group TitleBest ResponseYou've already chosen the best response.3
so what would AG=
 2 years ago

rebeccaskell94 Group TitleBest ResponseYou've already chosen the best response.0
62? I think
 2 years ago

asnaseer Group TitleBest ResponseYou've already chosen the best response.3
now use the fact that:\[\cos(60)=0.5\]to work out AE
 2 years ago

asnaseer Group TitleBest ResponseYou've already chosen the best response.3
sorry  use the fact that:\[\tan(60)=\sqrt(3)\]to work out GE
 2 years ago

rebeccaskell94 Group TitleBest ResponseYou've already chosen the best response.0
Well, I'm not really sure how to do that. Sorry, I'm dumb when it comes to math. :/
 2 years ago

asnaseer Group TitleBest ResponseYou've already chosen the best response.3
are you familiar with trigonometry (sin/cos/tan)?
 2 years ago

Pac1f1cIslander Group TitleBest ResponseYou've already chosen the best response.0
62(60)sqrt3
 2 years ago

asnaseer Group TitleBest ResponseYou've already chosen the best response.3
if not, then this might help you: http://www.mathsisfun.com/algebra/trigfourquadrants.html
 2 years ago

rebeccaskell94 Group TitleBest ResponseYou've already chosen the best response.0
Vaguely, yes. I took geometry 3 years ago and got a B+ and A but I don't remember most of it :/ I'm trying desperately to help a friend but some of this stuff I just don't remember. I know that tan = opposite ÷ adjacent cos= adjacent ÷ hypotenuse sin= opposite ÷ hypotenuse If I remember those correctly. I'm personally, currently in AlgII :/
 2 years ago

asnaseer Group TitleBest ResponseYou've already chosen the best response.3
good, so look at triangle AEG and note that:\[\tan(60)=\frac{GE}{AG}=\frac{GE}{62}\]
 2 years ago

asnaseer Group TitleBest ResponseYou've already chosen the best response.3
which implies:\[GE=62\times\tan(60)\]
 2 years ago

asnaseer Group TitleBest ResponseYou've already chosen the best response.3
does that make sense?
 2 years ago

rebeccaskell94 Group TitleBest ResponseYou've already chosen the best response.0
Ah! Yes. I think so. I had to figure out where the 62 came from again xD
 2 years ago

asnaseer Group TitleBest ResponseYou've already chosen the best response.3
good, now some angles have /well known/ values for sin/cos/tan
 2 years ago

asnaseer Group TitleBest ResponseYou've already chosen the best response.3
60 is one such angle where: \(\tan(60)=\sqrt{3}\)
 2 years ago

asnaseer Group TitleBest ResponseYou've already chosen the best response.3
can you work it out now?
 2 years ago

rebeccaskell94 Group TitleBest ResponseYou've already chosen the best response.0
Let me try, and then I'll post it :D
 2 years ago

rebeccaskell94 Group TitleBest ResponseYou've already chosen the best response.0
107.26 is 62*1.73
 2 years ago

asnaseer Group TitleBest ResponseYou've already chosen the best response.3
roughly yes  you should leave it in terms of the radical, so the answer is \(62\sqrt{3}\)
 2 years ago
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