Question

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

Answer 1

`BE=81` in.

Explanation:

Given that `D,E and F` are the midpoints of sides `BC,AC and AB`, respectively, `=> AD, BE and CF` are the medians of `DeltaABC`. The three medians meet at `G, => G` is the centroid of the triangle.
Recall that the medians divide each other in the ratio of `2:1` at the centroid,
`=> BG:GE=AG:GD=CG:GF=2:1`,
given that `GE=27` in.,
`=> BE=BG+GE=2GE+GE=3GE=3xx27=81` in.