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Let's Investigate Triangles

Vincent and Tara are making triangles with the class construction set. They have a pile of strips of different lengths. How many different triangles can they make?

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Seven Sticks

Explore the triangles that can be made with seven sticks of the same length.

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Three Fingers and a Loop of String

Using a loop of string stretched around three of your fingers, what different triangles can you make? Draw them and sort them into groups.

Repeating Patterns

Stage: 1 Challenge Level: Challenge Level:1

equilateral and isosceles triangles

If you have some triangles like these can you make the repeating patterns below?

repeating patterns from the triangles

What other repeating patterns can you make with these triangles?

Please send us some pictures of your creations.

You could print off these sheets of triangles on coloured paper, or you could use the interactivity below to try out your ideas.


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The NRICH Project aims to enrich the mathematical experiences of all learners. To support this aim, members of the NRICH team work in a wide range of capacities, including providing professional development for teachers wishing to embed rich mathematical tasks into everyday classroom practice. More information on many of our other activities can be found here.
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NRICH is part of the family of activities in the Millennium Mathematics Project.