Magic triangle

Magic triangle

Magic triangles are also very interesting in a similar way.

In a magic triangle, numbers are to be filled without repetition on the sides of a triangle.

So that the sum of each side remains the same.

Fill up the circle with the numbers from 1 to 6 without repetition so that each side of the magic triangle adds upto 12.

Step 1: Place the larger numbers at the corners of the triangle i.e., 4 ,5, and 6.

Step 2: Place the smaller numbers i.e., 1,2 and 3 in the middle of each side.

Step 3: Now, try placing 1 between 4 and 5; 2 between 5 and 6 and 3 between 6 and 4.

Wrong Placement of numbers (first row 4, second row 1,3 and third row 5,2,6)

Sum of the numbers on three sides of the triangle are 10, 13 and 13. All the total are not the same. This placement of numbers is not correct.

Try the other way, by changing the numbers as shown in the figure, given below.

Wrong Placement of numbers (first row 4, second row 2, 1 and third row 5,3,6)

Sums of the numbers on three sides of the triangle are 11, 14 and 11. Again, the totals are not the same.

Try again. Change the numbers to get a total of 12 on each side.

Correct placement of numbers. (first row 4, second row 3,2 and third row 5,1,6)

This is the desired magic triangle.