Find the value of ED, if AE = 6 mm, EB = 8 mm, and CE = 12 mm.
Where are those lines located?
They appear to be points on a line, but without knowing the order, it's hard to say what's where.
If they are in order ABCDE, then the data don't fit.
To find the value of ED, we need to use the concept of triangle similarity and proportions.
First, let's draw a diagram to visualize the problem:
```
A
/ \
/ \
/ 6 \
E------B
8
C--12--
```
In triangle AEB, we can see that it is similar to triangle CED. This means that the corresponding sides of the triangles are proportional.
Using this information, we can set up the following proportion:
AE/CE = EB/ED
Plugging in the given values, we get:
6/12 = 8/ED
Now, we can solve for ED by cross-multiplying:
6 * ED = 12 * 8
ED = 96 / 6
ED = 16 mm
Therefore, the value of ED is 16 mm.