By using the definition of similarity between triangles and algebraic properties, the length of the segment AB of the system is equal to 4 units.
How to determine the length of the segment AB
In this problem we have two similar triangles and we need first to determine the lengths of segments AC and BC and then subtract the length of the latter from the length of the former, that is:
AC/BC = CE/CD
AC/2 = 15/5
AC = 6
AB = AC - BC
AB = 6 - 2
AB = 4
By using the definition of similarity between triangles and algebraic properties, the length of the segment AB of the system is equal to 4 units.
To learn more on similar triangles: https://brainly.com/question/25882965
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