Final answer:
Without additional information about angles or congruent sides, it is not possible to accurately determine the geometric property described in the given triangles ABC and AED.
Step-by-step explanation:
To determine the geometric property described in the given triangles ABC and AED, we need specific information about angles and sides. With the lengths provided (AC = 12.3cm, AB = 8.2cm, and BE = 3.8cm), we cannot imply any of the listed properties without additional information on angles or congruent sides. Therefore, unless it's specified that angles are respectively equal or sides have certain relations to each other in both triangles, we can't conclude they are similar, congruent, right-angled, or isosceles triangles.
It is crucial to know whether angles correspond and sides are in proportion for similarity, sides and angles are identical for congruence, one of the angles is 90 degrees for right-angled triangles, or two sides are equal for isosceles triangles. Only with such details can we select the correct option.