Question

In triangle ABC, point D is the centroid, and BD = 6. Find BE.

Answer 1

Given:

In triangle ABC, point D is the centroid, and BD = 6.

To find:

The measure of side BE.

Solution:

We know that the centroid divides each median in 2:1.

In the given figure BE is a median and point D is the centroid. It means point D divides the segment BE in 2:1.

Let BD and DE are 2x and x respectively.

We have, BD = 6 units.

$2x=6$

$x=\dfrac{6}{2}$

$x=3$

Now,

$BE=BD+DE$

$BE=6+x$

$BE=6+3$

$BE=9$

Therefore, the measure of side BE is 9 units.