Triangle Median Problem: Finding DC Length When BD = 4

Question

AD is the median in triangle ABC.

BD = 4

Find the length of DC.

00:00 Determine the length of the segment DC

00:03 AD is a median according to the given data, a median bisects the side

00:09 The following is the length of the segment according to the given data

00:15 Substitute in the value of BD in order to determine DC

00:18 This is the solution

To solve this problem, since $AD$ is a median of triangle $ABC$ , the median divides the opposite side $BC$ into two equal segments.

Given $BD = 4$ , this means that $DC$ must also be equal to 4.

Therefore, the length of $DC$ is $4$ .