Triangle Median Problem: Finding DC Length When BD = 4

AD is the median in triangle ABC.

BD = 4

Find the length of DC.

AAABBBCCCDDD4

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Step-by-step video solution

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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

Step-by-step written solution

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1

Understand the problem

AD is the median in triangle ABC.

BD = 4

Find the length of DC.

AAABBBCCCDDD4

2

Step-by-step solution

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

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

Therefore, the length of DC DC is 4 4 .

3

Final Answer

4

Practice Quiz

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Fill in the blanks:

In an isosceles triangle, the angle between two ___ is called the "___ angle".

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