Question

given that point b is the centroid of △cde, what is the length of be? additional information ge = 12.3 8.2 8.15 4.1 6.15

Explanation:

Step1: Recall centroid property

The centroid of a triangle divides each median in a 2:1 ratio.

Step2: Identify median - related segments

Since B is the centroid of $\triangle CDE$, if we consider median $GE$, $GB:BE = 2:1$ and $GE=GB + BE$.

Step3: Calculate length of BE

Let $BE=x$, then $GB = 2x$. So $GE=2x + x=3x$. Given $GE = 12.3$, we have $3x=12.3$. Solving for $x$, we get $x=\frac{12.3}{3}=4.1$. So the length of $BE$ is 4.1.

Answer:

C. 4.1