Question

IN triangle ABC point D is the centroid and BD=4 Find BE

Answer 1

Answer:

2

Step-by-step explanation:

What is so special about the centroid? It is the distinct point that each of the three medians intersect. Therefore, from this definition we can figure out through some geometric proof (I'm not going to go into this) the following:

If you draw the medians, you will notice that they intersect at exactly one point. That is the centroid. You will also notice that the centroid splits the median into 2 parts: top and bottom. The proof suggests that the top part is 2 times the bottom part.

In this case, the centroid is D and the top point is B. Therefore, we can figure out that BD, the top part, must be 2 times the bottom part, which is BE. Thus, we determine that BE is 2 because 4/2 = 2.

I would encourage you to draw it out so you can understand. Unfortunately, typing may not work all the time