Math Curiosity: Magic Triangles

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Summary

Can you make each side of this triangle add up to 9 using the digits 1-6?

  1. First, students find a solution that adds up to 9 for an order-3 magic triangle.
  2. Next, they find a solution that equals 17 for an order-4 magic triangle.
  3. They revisit the order-3 triangle and find the remaining three solutions.
  4. Finally, your students will return to the order-4 triangle to find as many solutions as possible. (There are [18 unique solutions](https://www.byrdseed.tv/wp-content/uploads/2023/03/magic-triangle-all-solutions-4.pdf)).

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