Question

In △ABC , GE=27 in.   What is the length of BE¯¯¯¯¯ ?

Answer 1

I hope it's not to late but the answer would be 81

Answer 2

Answer:

BE = 81

Step-by-step explanation:

From the graph we can see that point G is the barycentre of the triangle, because it's formed by the intersection of the three medians of the triangle, which are defined as segments from a vertex to the midpoint of the opposite side.

From the intersection of all triangle medians we have that:

$BG=2GE$

$CG=2GF$

$AG=2GD$

Also, we know by hypothesis that $GE=27$. Replacing this value:

$BG=2GE$

$BG=2(27)=54$

Then, by sum of segments, we have:

$BE=BG+GE$

$BE=54+27=81.$

Therefore, BE = 81.