## 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!