Remove one matchstick from the ones above. Then rearrange the matchsticks to create six identical triangles.

### SOLUTION

First count the matchsticks that you have now. There are 13 of them, so when you remove 1 of them you have 12 in all. Think about the number 12. It is the same as 4 x 3 , which is 4 triangles with the 3 sides. But we need 6 triangles that are identical - which brings in the idea that the triangles share sides.

Thinking of the number 12 - the other factors are 6 and 2. What Polygon has 6 sides?

A Hexagon! So can we make 6 identical triangles from a Hexagon? Go ahead and give it a try!

Create a Hexagon and use the remaining 6 matchsticks to create the diagonals and this will give you 6 identical triangles.

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