How do I solve this?
Point G is the centroid of the triangle. The length of BG = 6.
http://assets.openstudy.com/updates/attachments/4fe68280e4b02c91101b2f36-jahempress-1340506763450-image.gif
What is the length of BE?
A. 3
B. 6
C. 8
D. 9
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OpenStudy (cwrw238):
Hint: BG:GE = 2: 1
OpenStudy (anonymous):
??? i'm new to working with centroids, what does that mean? if u don't mind explaining...
OpenStudy (cwrw238):
if G is the centroid then BG = 2 * GE
OpenStudy (anonymous):
ohh, so then does that mean I just add 2 to 6 to get my answer, is that really all u have to do?
OpenStudy (cwrw238):
no the * means times
length of BG = twice length of GE
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OpenStudy (anonymous):
ohh, okay... so then what do u do next, do u times the 6 with the 2? im a little confused...
OpenStudy (cwrw238):
bg = 6 and its twice the size of ge so ge = 3
OpenStudy (anonymous):
so, the answer would be 9 right?
OpenStudy (cwrw238):
yes
OpenStudy (cwrw238):
because ge + bg = be
3 + 6 = 9
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OpenStudy (anonymous):
okay, im gonna have to work some more, this is literally the first lesson on centroids for me, still learning... thanks for your help! :)