Can you make 4 triangles with 6 match sticks?
The rules are simple: using 6 matchsticks, create 4 equilateral triangles. All 4 triangles have to be the same size, and the sides of each triangle have to be one matchstick long. It sounds impossible, and 99% of the time the mark will just give up.
How many triangles can you make with 6 sticks?
If the number of sticks is a multiple of three, an equilateral triangle can be made because if the number is divisible by 3 the number of sticks making each side will be the same….Age 7 to 11. Challenge Level.
| Number of sticks | Number of triangles |
|---|---|
| 6 | 1 |
| 7 | 2 |
| 8 | 1 |
| 9 | 3 |
Can we make a triangle with 6 matchstick?
This is an acute angle triangle and it is possible to make a triangle with the help of 6 matchsticks because sum of two sides is greater than third side.
What shapes can be made from 4 triangles?
There are two layouts of four equilateral triangles that will fold to make a tetrahedron and one that will not. Get students to identify why (two of the triangles fold to be on top of each other, so there is an open side).
What shapes can you make with 6 equilateral triangles?
What happens if you connect 6 equilateral triangles at each vertex? You get a flat surface known as regular triangular tiling.
What is solid formed by 4 equilateral triangles?
Tetrahedron
The Tetrahedron is one of several regular solids. While it has four equal-area equilateral triangle faces. Indeed regular simply is another way to say all faces of the solid are the same in shape and area.
How many shapes can you make with 4 triangles?
Again, rigid motions (a rotation) show that the two polygonal arrangements are congruent. Hence, the total number of unique arrangements of 4 isosceles right triangles is 14!