The value of length of segment AB is determined as 30 units.
How to calculate the value of length AB?
The value of length of segment AB in the similar triangle is calculated by applying the following proportion formula.
Considering the smaller triangle, we have;
EC / DC
Considering the bigger triangle, we have;
AB / DB
Since both triangles are similar, we will have;
EC / DC = AB / DB
12/4 = AB / (4 + 6)
3 = AB / 10
AB = 3 x 10
AB = 30 units
Thus, the value of length of segment AB is determined as 30 units.