Math Curiosity: Magic Triangles

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Students will find several solutions for magic triangles of various sizes.

I'd recommend working through the Magic Squares tasks first.

Note that solutions can be rotated, reflected, and (in some cases) rearranged but still count as the same solution if the sides have the same numbers.


  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).


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