Use 11 sticks of equal length to make this triangle with edge lengths 2, 4 and 5. You might like to record this as (2, 4, 5).

How many other triangles can you make with 11 sticks?

Investigate all the triangles that you can make with different numbers of sticks.

Record your results.


Is it possible to make a triangle with edge lengths 2, 3 and 6?

What about 2, 3 and 4?

When can you make a triangle and when is it impossible? What patterns can you find?

To investigate this question you could use toothpicks, or paper sticks or a piece of string with equally spaced knots.

To make 4 paper sticks each 10.5 cm long, cut a piece of A4 paper in four, roll the paper with the string inside so that you can join the sticks by tying the string.

Click here for the Notes for Teachers.

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