# Middle segment of a triangle - Examples, Exercises and Solutions

The midsegment of a triangle has three main properties:

• The midsegment crosses exactly through the middle of the two sides that determine it.
• The midsegment is parallel to the third side of the triangle.
• The midsegment measures half the length of the side arranged parallel to it.

Let's look at the properties of the midsegment of a triangle in the following illustration:

If $AD=CD$
$AE=BE$

then $2DE=CB$
$DE∥CB$

## Practice Middle segment of a triangle

### Exercise #1

Given that DE is a middle section in triangle ABC, what is the length of side DE?

4

### Exercise #2

Given that DE is a middle section in triangle ABC, what is the length of side DE?

5

### Exercise #3

Given that DE is a middle section in triangle ABC, what is the length of side DE?

4.5

### Exercise #4

Given that DE is a middle section in triangle ABC, what is the length of side DE?

9

### Exercise #5

Given that DE is a middle section in triangle ABC, what is the length of side DE?

11

### Exercise #1

Given that DE is the middle section in triangle ABC, what is the length of side DE?

7

### Exercise #2

Given that DE is the middle section in triangle ABC, what is the length of side DE?

6

### Exercise #3

Given that DE is the middle section in triangle ABC, what is the length of side DE?

15

### Exercise #4

Given that DE is the middle section in triangle ABC, what is the length of side DE?

7.5

### Exercise #5

Given that DE is the middle section in triangle ABC, what is the length of side DE?

7

### Exercise #1

Given that DE is the middle section in triangle ABC, what is the length of side DE?

12

### Exercise #2

Given that DE is the middle section in triangle ABC, what is the length of side DE?

4

### Exercise #3

In which figure is the dashed segment the median?

### Exercise #4

In which figure is the dashed segment the median?