Triangle Median Problem: Calculate BC Length Given AD as Median

Question

AD is the median.

Calculate the length of the side BC.

00:00 Calculate side BC

00:03 The entire side equals the sum of its parts

00:09 AD is a median according to the given data, the median bisects the side

00:17 Place BD instead of DC (they are equal because AD is a median)

00:28 Substitute the value of BD according to the given data and solve for BC

00:31 This is the solution

Given that $AD$ is a median in triangle $\triangle ABC$ and $BD = 6$ , we need to determine the length of side $BC$ .

Since $AD$ is the median, it implies that $D$ is the midpoint of $BC$ . By definition of midpoint, this means:

$BD = DC$ .
Given $BD = 6$ , it follows that $DC = 6$ as well, since $D$ divides $BC$ into two equal parts.

Therefore, the total length of $BC$ can be calculated as:

$BC = BD + DC = 6 + 6 = 12$ .

Thus, the length of side $BC$ is 12.