Magic triangle is an arrangement of specific numbers within a circle that form a triangle as shown below.
Our
challenge here is to fill in the number 1, 2, 3, 4, 5, 6, 7, 8, and 9
in the circles such that the sum of numbers on each side of the triangle
is the same. Interesting to try instead?For those who are used to playing with puzzles magic triangle is definitely not a difficult thing to accomplish. But for those who still difficult to determine the composition of the numbers in the triangle, I will share a secret to you.For example, we want the length of each side of the triangle 20. (why
20, the answer can be found after understanding all of this writing).We count the number of sides of the triangle, which is 3 x 20 = 60.An unknown number of numbers making up the sides of the triangle 1 + 2 + 3 + ... + 9 = 45.We find the difference between the number of sides of the triangle and the number of constituent numbers, ie 60-45 = 15.Furthermore,
we find three numbers that total 15 to be placed in the circle at the
corners of the triangle, which is 4, 5, and 6. (4 + 5 + 6 = 15)
The final step of this magic triangle solution is to choose the right numbers to put in the remaining circles. Of course, the total number on each side must be 20. For example as shown below on the left side, the total number of 2 circles in the corners of the triangle is 4 + 5 = 9, so as to get 23, still needed 11. Now, the 11 we get from the numbers compilers, namely 2 and 9.
and this is the end result,
How? Easy, right? Please try to measure the other side of the triangle, for example 17, 18, 23, atauukuran the other side. How long is your conclusion about the possible side to complete the magic triangle?