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Mathematics 8 Online
OpenStudy (anonymous):

Could you please help? I think I know the answer but i'm not sure? What is the length of segment BE? (3 points) 4.5 13.5 16.5 18 I think it is 13.5

OpenStudy (anonymous):

OpenStudy (anonymous):

From the diagram you supplied, the answer is unknowable. There isn't a single value given for any line segment or angle.

OpenStudy (anonymous):

That's what I thought and I sent my teacher my concerns about it and she told me I was doing it wrong but wouldn't help.

OpenStudy (anonymous):

I'm at a loss as to how to proceed then. Are any values given in some paragraph related to the triangle?

OpenStudy (anonymous):

It says Point G is the centroid of the triangle. The length of segment BG = 9.

OpenStudy (anonymous):

Fascinating. I'm not sure I'm able to solve this, but I believe it is solvable from that simple piece of information. Lemme stare at it for awhile. With any luck, someone who knows what he's doing may come wandering in here... :-)

OpenStudy (anonymous):

I hope so. :)

OpenStudy (anonymous):

OM freagin G!!!! :-) Check this out: http://www.mathwarehouse.com/geometry/triangles/triangle-concurrency-points/centroid-of-triangle.php Now from what I can infer from the diagrams, the centroid splits each median line into 2 pieces with a constant ratio of 1:2 between the short side of the split median line and the long side. Since BG is the long side of the median BE, all you have to do to find BE is divide BG by 2 to get GE, and add it to BG!! That *IS* fascinating as hell!!! :-)

OpenStudy (anonymous):

I'm sitting here playing with triangles now, @ASLCBH...this centroid thingy just tickles me to death! That is so neat!! And oh BTW, you were right with your original answer. I hope this revelation helps you to understand WHY you were correct! :-)

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