I cut out the lengths to have a visual look at the problem and the answer is NO you cannot arrange 5cm, 12cm, and 19cm into a triangle. Even straightening out the lengths of 5cm and 12cm into a 180 degree angle will not measure out to the 19cm. You cannot have a side that is more than the length of the other two sides combined in a triangle.
No, the two shortest must add up to more than longest!
Throw away two sticks
Make a square (with four of the matches) and then put an x in the square (with the reamaining two) I'm sorry to spoil your trick; however, the two sticks that are used for the X are not long enough to touch the four corners of the square. In return, I will ask: How can you make 4 equilateral triangles from 6 equal length sticks or matches?
You can make 14 bundles of 10 out of 148 sticks, with 8 sticks leftover.
1,000 sticks.
yes
No, the two shortest must add up to more than longest!
No. The length of the longest stick must be less than the total length of the other two.
9, 4, and 11 are three dimensionless numbers. Yes, they can represent the lengths of the sides of a triangle. You can take three straight sticks, cut them to lengths of 9, 4, and 11 inches, then lay them down on a table so that the ends hook up and they form a triangle.
arrange them to spell NIL <--six match sticks
Make a Triangular Pyramid. Place three flat to form the first triangle, then make it into a pyramid with the remaining three. (It's a tetrahedron - a four-sided figure, and all sides are equilateral triangles.)
A triangle only has three sides. If you put three sticks together, you can make a triangle. If you had four sticks, you cannot make a triangle. That is why only three sticks are needed.
There are 6 sets of three which can be used.
Actually its 6. Im not sure how to get it tho
Arrange the sticks as XXIV (Roman Number of 24)
because you can't just change one of the angles or one of the side lengths without breaking the triangle. All the angles and sides re-inforce each other. Image a square made out of sticks that are attached loosely at the corners. You can squish two of the corners together to make a diamond shape, and you haven't changed the length of the sides. But if you have a triangle made out of sticks, you can't change it's shape without destroying it.
A coyote.