Final answer:
The problem requires the application of the Pythagorean theorem to find lengths in right triangles and uses the concept of congruent triangles to determine various distances in geometric figures.
Step-by-step explanation:
The problem described involves applying the Pythagorean theorem to determine lengths within right triangles. The theorem states that in a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the other two sides (a and b). Therefore, the relationship is a² + b² = c². This can also be written as c = √(a² + b²) when solving for c.
It is also mentioned that congruent triangles have been identified, meaning they have the same size and shape. Using these principles of congruent triangles and the Pythagorean theorem, one can determine various distances and lengths within geometrical figures.