ACB and CED are confirmed to be congruent, while the term "similarity" is deemed unnecessary in this context. Triangle ABC is established as a right triangle, and although triangle CED's right angle status isn't explicitly stated, it is implied for the problem's validity. The congruence of angles ACB and CED leads to the conclusion that angles CAB and DCE are also congruent, resulting in angle ACE being a right angle. Consequently, triangle ACE is identified as a right triangle with legs measuring 7 and 24, allowing for the calculation of length AE using the Pythagorean theorem. This discussion emphasizes the importance of congruence in understanding the relationships between the triangles involved.