https://file.aiquickdraw.com/mathbot/file/17263561558484bgyctnf.jpg

The image shows five triangles with given side lengths. The task is to identify which two triangles must be congruent based on the given side lengths. Let's analyze the side lengths of each triangle to find any pairs that must be congruent.

### Triangle 1:
- Side lengths: 13, 12, and 5

### Triangle 2:
- Side lengths: 13, 12, and 5

### Triangle 3:
- Side lengths: 13, 12, and 5

### Triangle 4:
- Side lengths: 13, 12, and 5

### Triangle 5:
- Side lengths: 13, 12, and 5

#### Conclusion:
All five triangles have the same side lengths (13, 12, and 5). Since congruent triangles are triangles with identical side lengths, all these triangles are congruent to each other.

The answer could be any pair of triangles, but to meet the condition of the problem, two triangles that **must** be congruent could be triangles 1 and 2. Thus, the answer is:

**1,2**

Would you like a detailed explanation of triangle congruence criteria or have any questions?

### Related Questions:
1. How do you determine if two triangles are congruent using side lengths?
2. What are the different congruence postulates for triangles (e.g., SSS, SAS)?
3. Can two triangles with the same area but different side lengths be congruent?
4. How do you calculate the perimeter of a triangle when given all sides?
5. What is the difference between similar and congruent triangles?

**Tip:** When determining triangle congruence, always compare both the lengths of the sides and the angles, especially when side lengths are given.

Based on the information given below, which two of the triangles below must be congruent? Enter your answer as a list of numbers. If you think the first and second triangles are congruent, enter '1,2'.

Learn how to determine which two triangles are congruent using the SSS (Side-Side-Side) congruence theorem. This problem provides a step-by-step solution with all side lengths identical. Suitable for students in Grades 8-10.

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