Final answer:
The length of segment DE in congruent triangles ΔABC and ΔFDE cannot be determined without specific numerical values. In congruent triangles, corresponding sides are equal, but additional context or measurements are needed to provide an exact answer.
Step-by-step explanation:
The question asks for the length of segment DE in a pair of congruent triangles, ΔABC ≅ ΔFDE. In congruent triangles, corresponding sides and angles are equal. If we are given the length of a side in one triangle, the congruent side in the other triangle will be of the same length. Without additional specific numerical values for the sides of the triangles provided in the question, we cannot calculate the exact length of segment DE.
To find the length of an arc on a circle that corresponds to a given angle, we use the formula arc length = (angle/360) × 2πr, where r is the radius of the circle. However, in the context of the congruent triangles mentioned, we would only use this if we were working with circumscribed circles around the triangles or inscribed circles within them. Furthermore, if we are dealing with a circle and have the values for the focal length (f) and object distance (do), we can use the lens formula 1/f = 1/do + 1/di to determine the image distance, but this formula is not directly related to finding the length of a side in a congruent triangle.