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- Taylor created a triangle with sides of length 7 cm, 5 cm, and 6 cm.
- Once upon a time, there were three friends named Sam, Alex, and Taylor who loved to solve puzzles and play mathematical games. One day, they decided to challenge each other by creating a set of triangles using sticks and strings.
- Alex created a triangle with sides of length 6 cm, 7 cm, and 5 cm.
- Sam created a triangle with sides of length 5 cm, 6 cm, and 7 cm.
- Taylor chimed in and said that his triangle was the same as both Sam's and Alex's because they all had the same three side lengths, just arranged differently.
- They all looked at their triangles and wondered if they were the same.
- Alex disagreed and claimed that his triangle was the same as Sam's because they both had a side of length 6 cm
- Sam argued that his triangle was unique because of its specific side lengths
- As they continued to debate, they realized that they needed a way to prove if their triangles were truly the same. They remembered learning about the concept of triangle congruence in their math class, which meant that two triangles were the same if they had congruent corresponding sides and angles.
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