Question

In triangle ACE, G is the centroid and BE=9. Find BG and GE.

(segments BE and AD cross in the middle of the triangle, BE overlaps AD and C is at the top of the triangle, and A is on the left corner and E is on the right)

Thank You So Much!!! ^0^

Answers

Steve
If you check your definition of the centroid, you will find that it is 2/3 of the way from each vertex to the midpoint of the opposite side.

So, if EB is 9, how far is 2/3 of the way from E to B?
(○’ω’○)
BG= 3
GE= 6
(○’ω’○)
( i am 52% sure that my top answer is wrong but IDK. sorry people. (′~`;) )
A random gorl
The person above was actually right, but here's the work

BG = 1/3 x BE
BG = 1/3 x 9
BG = 3

GE = 2/3 x BE
GE = 2/3 x 9
GE = 6
Gru's dad
yall tomorrow is 2022, wish me luck
Al5x1
It's officially 2022
senchou
2022 and the semester final of geometry is going to kill me
BigKidNow29
i know senchou lol
Thou Who Appears When All else Disappears
It will soon be 2023 my fine lads.
Hater
Shut up 2023 will be worse than 2022

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