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Question from joshine, a student:

hei math central.
i confuse about a magic triangle.but my teacher ask me to make examples of it in 4 different magic triangle and also different pattern can you help me about it?
thanks so much

Joshine,

I would draw something like this

triangle

and then cut out six circles of paper and write the numbers 1 to 6 on them.

circles

Now try to place the green circles on the brown circles so that the sum along each side of the triangle is the same. The reason I suggest you try this with paper cut-outs is that you need to find 4 different ways to do it and just doing it with pencil and paper might use a lot of scrap paper.

I will give you a hint. One of the arrangements that works has a sum of 9 along each side of the triangle.

Good luck,
Penny

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