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# Tessellating Triangles

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Age 7 to 11

Challenge Level

Equilateral triangles have three sides the same length and three angles the same. Can you make them fit together to cover the paper without any gaps between them? This is called 'tessellating'. |

What about triangles with two equal sides? These are isosceles triangles.

Can you tessellate all isosceles triangles?

Now try with right angled triangles. These have one right angle or 90 degree angle.

Some triangles have sides that are all different. Can you tessellate these?

Could you tessellate any triangle?

Penta people, the Pentominoes, always build their houses from five square rooms. I wonder how many different Penta homes you can create?

Use the interactivity to make this Islamic star and cross design. Can you produce a tessellation of regular octagons with two different types of triangle?