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Mathematics 23 Online
OpenStudy (anonymous):

(Image will be in the "comments" section.) Point G is the centroid of the triangle. The length of BG = 10. What is the length of BE ? A.) 30 B.) 15 C.) 20 D.) 18

OpenStudy (anonymous):

OpenStudy (mani_jha):

Do you know that a centroid divides a median in the ratio 1:2? So, BG=10. GE=5. So BE=10+5=15

Directrix (directrix):

B.) 15

OpenStudy (anonymous):

I was kinda thinking it was 15 since BG=10 I just wanted to make sure, thank you!

Directrix (directrix):

The centroid of a triangle divides the medians forming it into segments that are in a 2 to 1 ratio.

OpenStudy (anonymous):

Ahh, thank you again! :)

Directrix (directrix):

The centroid is 2/3 of the way from a given vertex to the opposite midpoint. The centroid is always on the interior of the triangle.

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