Perimeter Magic Triangle

magic triangle blog title

These days, I often do some fun maths with my kids at home. I believe my children are challenged by brain teasers and logic puzzles which promote their problem-solving and critical thinking abilities. And, it allows them to discuss topics which may have been too challenging before. One such puzzle is the Perimeter Magic Triangle. This puzzle uses the same concept as the magic square, but requires you to arrange the numbers in a triangle where all three sides add up to the same number.

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What you need

  • Puzzle board ( print here or draw your own )
  • 1 player

Cut the numbered circular discs from the printout. The paper with an image of the triangle is the puzzle board.

Solving the magic triangle of order 3

To solve the puzzle you need to arrange the numbered discs from 1-6 into the six empty circles along the sides of the triangle so that the three numbers on each side of the triangle adds to the same total.

There can be multiple solutions to the magic triangle puzzle. Can you figure all of them? What should be the magic square sum of a magic triangle of any order with a given arithmetic sequence ? Is there any strategy to follow in deciding which numbers will be placed on the vertices of the triangle ?

Give it a try and click below to check your solution.

What is my kid learning with this puzzle ?

This simple puzzle of Perimeter Magic Triangle allows you to work on your number skills and reasoning skills by narrowing down the choices and then evaluating each choice by adding the numbers and comparing the results.

Extension – Magic triangle of order 4

The magic triangle of order 4 is similar to the magic triangle of order 3 except that there are nine circular discs numbered from 1-9 and you need to place them strategically into the nine empty circles along the sides of the triangle so that the four numbers on each side of the triangle adds to the same total.

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Interested in more puzzles, check them out here.

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