1. **State the problem:** We need to find which two triangles among A, B, C, D, and E are congruent based on their side lengths. 2. **Recall the congruence rule for right triangles:** Two right triangles are congruent if their corresponding legs are equal in length. 3. **List the side lengths of each triangle:** - Triangle A: legs 5 and 2 - Triangle B: legs 2 and 4 - Triangle C: legs 2 and 5 - Triangle D: legs 5 and 4 - Triangle E: legs 2 and 5 4. **Compare the legs to find congruent pairs:** - Triangle A (5,2) and Triangle C (2,5) have the same legs, just swapped order, so they are congruent. - Triangle A (5,2) and Triangle E (2,5) also have the same legs, so they are congruent. - Triangle C and E both have legs 2 and 5, so they are congruent. 5. **Conclusion:** Triangles C and E are congruent because they have the same leg lengths 2 and 5. **Final answer:** Triangles C and E are congruent.