The image shows a triangle $\triangle ABC$ divided into two smaller right triangles by segment $\overline{CD}$. There are tasks written beneath the diagram involving identifying congruent triangles, angles, and side lengths, as well as finding proportional relationships.

Let me analyze the given problem and extract the details:

Analysis:

1. Triangle Description:

   • $\triangle ABC$ is divided by $\overline{CD}$ into $\triangle ADC$ and $\triangle BDC$.
   • Right angles are marked at $\angle ACD$ and $\angle BCD$.
   • Dimensions provided:
     • $AC = 18 \, \text{cm}$
     • $BC = 32 \, \text{cm}$

2. Questions (Translated from Image): a. Identify congruent triangles within the diagram. b. Identify pairs of equal angles in the triangles. c. List pairs of proportional sides for similar triangles. d. Find the lengths of $\overline{AB}, \overline{BC},$ and $\overline{BD}$.

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