Toothpick Triangle
Can you make four equilateral triangles with 6 toothpicks ?
Labels: mathemagic
posted by Rajesh Lal at
9:39 PM
Wednesday, March 26, 2008
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23 Comments:
Make a pyramid! one toothpick for each side
Build a tetrahedron, a pyramid with a triangular base.
Make a star of David, 6 triangles of the same size.
or you break the 6 toothpicks in half, so now you have 12 pieces of toothpick to make your 4 EqTria's
Star of David. Easy.
Yes(Conect Them)
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Pyramid is correct.
Star of David is incorrect, this makes six not 4.
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.
Legend of zelda's triforce
Star of David actually makes 8 equilateral triangles: 6 small ones and two big ones.
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
"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.
Your mom is 4 right-angle triangles!
The square with the x in the center can work if you over lap the tooth picks of the square.
A square with an X in the middle aren't equilateral triangles. And the 3-D pyramid is right.
do a triangular based pyramid
DUH(!!!)
i will figure that everyone is in agreement.....
the answer is "yes"
-yurka
yeah just draw a square with two diagnols from opposite vertices and then you have four triangles =]
Can't you also do this to get 4?
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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?
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.
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 /_\
Actually there are more than 3 ways to solve this problem. Only two are on this page. Good luck finding the others!
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