The image contains a geometric problem involving a triangle, labeled as "Figure 2.63." The text seems to involve the Pythagorean theorem and mentions various segments of the triangle.

Key observations:

1. The triangle is a right triangle with a right angle at point $C$.
2. Segments are labeled $A$, $B$, $C$, and $D$.
3. The questions or statements seem to involve calculating lengths of the sides using the Pythagorean theorem between certain points, likely referencing the relationships between $AB$, $AD$, $BC$, and $BD$.

Would you like a detailed breakdown or help solving a specific part of the problem?

Here are 5 questions to consider based on this:

1. What specific relationship is there between the segments $AB$, $AD$, and $BD$?
2. How can we apply the Pythagorean theorem to different triangles in this figure?
3. What are the known angles or lengths in this figure?
4. Is there any additional information needed about triangle similarity or trigonometric ratios?
5. How does point $D$ divide triangle $ABC$?

Tip: When dealing with right triangles, remember that the Pythagorean theorem is $a^2 + b^2 = c^2$, where $c$ is always the hypotenuse.