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Forum URL: http://www.cut-the-knot.org/cgi-bin/dcforum/forumctk.cgi
Forum Name: Middle school
Topic ID: 59
#0, Problem solving Magic triangles
Posted by GAry on Feb-06-02 at 10:39 PM
You have 2 triangles that overlap each other looks like a star when overlapped. The question ask to Place the numbers 1-12 at the dots so that the sum of each of the six rows is 26.

One triangle has the point facing up and the other is poining down. If the did not over lap and the bases touched it would be dimond shapped. Each side of the triangle has 4 points. The points are on the corners of the triangles and where the sides cross through the sides on the triangle. The numbers I have are
12-7-1-6
12-4-2-8
8-9-3-6
5-4-7-10
10-2-3-11
11-9-1-5
The problem is when the traingles over lap if you keep the 2 and 1 the same as in the 1st triangle you end up with one side 25 adn one side 27 Please help, this is a 7th grade homework problem I am so confused.










#1, RE: Problem solving Magic triangles
Posted by alexb on Feb-06-02 at 10:59 PM
In response to message #0
As it's a homework and you seem to invest some effort into it, I'll give you a hint. Numbers 1, 2, 10 stand at the vertices of one triangle, numbers 3, 4, 6 at the vertices of the other.

#2, RE: Problem solving Magic triangles
Posted by Lucia Tu on Feb-09-09 at 07:11 PM
In response to message #0
I myself have this homework tonight, and I'm in sixth grade. It took me a whole thirty minutes, so I sympathize with you. For anyone that has trouble with this problem in the future, these are the numbers in each row.

1-11-12-2
2-5-9-10
10-7-8-1
3-11-8-4
4-7-9-6
6-5-12-3


#3, RE: Problem solving Magic triangles
Posted by Kayla on Mar-05-09 at 06:34 PM
In response to message #0
I have this same homework and AM COMPLETELY LOST!!!
PLEASE HELP Because none of these are correct! YOU CAN ONLY USE THE NUMBER ONCE IN THE TRIANGLE!!!