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For younger learners

  • Early Years Foundation Stage

Equal Equilateral Triangles

Age 14 to 16
Challenge Level Yellow star
  • Problem
  • Getting Started
  • Student Solutions
  • Teachers' Resources

Imagine you have lots of copies of the two triangles pictured below: 

You may wish to print off and cut out these Yellow and Green triangles.

  • Can you make a regular hexagon using only yellow triangles ?

  • Can you make a regular hexagon using only green triangles ?

  • Can you make a regular hexagon from yellow triangles that is the same size as a regular hexagon made from green triangles ?

Did that tell you something about yellow and green triangles, about how they relate to each other ?

  • Can you make an equilateral triangle from yellow triangles ?
  • Can you make an equilateral triangle from green triangles ?
  • Can you make an equilateral triangle from yellow triangles that is the same size as an equilateral triangle made from green triangles ?

When you've got inside this problem and started to feel your way around, please do take a look at Impossible Triangles? - it's the perfect follow on. There's even a video to watch to make getting started easy.


Printable NRICH Roadshow resource.


 

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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.

NRICH is part of the family of activities in the Millennium Mathematics Project.

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