Wednesday, March 26, 2008

Toothpick Triangle

Can you make four equilateral triangles with 6 toothpicks ?

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23 Comments:

Anonymous Alexander said...

Make a pyramid! one toothpick for each side

March 26, 2008 10:49 PM  
Anonymous mo said...

Build a tetrahedron, a pyramid with a triangular base.

March 27, 2008 3:12 AM  
Blogger Tiaan said...

Make a star of David, 6 triangles of the same size.

March 27, 2008 3:39 AM  
Anonymous Helo said...

or you break the 6 toothpicks in half, so now you have 12 pieces of toothpick to make your 4 EqTria's

March 27, 2008 9:11 AM  
Anonymous Anonymous said...

Star of David. Easy.

March 27, 2008 9:29 AM  
Anonymous Anonymous said...

Yes(Conect Them)

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/_ _\

March 27, 2008 11:42 AM  
Anonymous Anonymous said...

Pyramid is correct.
Star of David is incorrect, this makes six not 4.

March 27, 2008 1:02 PM  
Anonymous Mister Know-it-All said...

Both Pyramid and Star of david are correct.

The former creates four triangles, the latter creates four triangles, plus two more, along with a hexagon.

It asked can four be made with six, not if ONLY four could be made.

March 27, 2008 3:47 PM  
Blogger Kid said...

Legend of zelda's triforce

March 27, 2008 6:31 PM  
Anonymous Anonymous said...

Star of David actually makes 8 equilateral triangles: 6 small ones and two big ones.

March 27, 2008 10:53 PM  
Anonymous Anonymous said...

make a square with four of them then make an X in the middle of the square with the other 2 u now have 4 equilateral triangles in a square with six toothpicks

March 28, 2008 2:20 PM  
Anonymous Anonymous said...

"make a square with four of them then make an X in the middle of the square with the other 2 u now have 4 equilateral triangles in a square with six toothpicks"

I'm pretty sure that makes 4 right-angle triangles.

March 28, 2008 5:40 PM  
Anonymous Anonymous said...

Your mom is 4 right-angle triangles!

March 28, 2008 5:48 PM  
Anonymous Anonymous said...

The square with the x in the center can work if you over lap the tooth picks of the square.

March 31, 2008 10:00 PM  
Anonymous Anonymous said...

A square with an X in the middle aren't equilateral triangles. And the 3-D pyramid is right.

April 2, 2008 4:27 PM  
Anonymous Anonymous said...

do a triangular based pyramid
DUH(!!!)

April 3, 2008 2:28 AM  
Anonymous Anonymous said...

i will figure that everyone is in agreement.....

the answer is "yes"

-yurka

April 6, 2008 2:15 PM  
Anonymous Anonymous said...

yeah just draw a square with two diagnols from opposite vertices and then you have four triangles =]

April 6, 2008 9:58 PM  
Anonymous Anonymous said...

Can't you also do this to get 4?
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April 10, 2008 8:47 PM  
Anonymous Anonymous said...

never mind, i meant that why cant you make an equilateral triangle, then make the remaining three toothpicks parallel to only one of the sides inside the triangle?

April 10, 2008 8:49 PM  
Anonymous Anonymous said...

All you have to do is build a tetrahedron - a pyramid with a triangular base. There are three sides plus the base equals four equalateral triangles. This is one of the 2 ( TWO ) only ways. I'll leave you to find the other way. The other one is not on this website, I checked al of it.

January 28, 2009 1:38 PM  
Anonymous ser said...

first, form 2 equilateral triangles with 3 toothpicks each. place these 2 triangles beside each other. then move 1 toothpick from the left triangle to form the number 4. and there it is, 4 /_\

April 21, 2009 6:51 AM  
Anonymous Da Genius said...

Actually there are more than 3 ways to solve this problem. Only two are on this page. Good luck finding the others!

August 7, 2009 2:19 PM  

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