Triangles

How many different ways can you find to join three equilateral triangles together? Can you convince us that you have found them all?

Try continuing these patterns made from triangles. Can you create your own repeating pattern?

How would you move the bands on the pegboard to alter these shapes?

Use the interactivity to find all the different right-angled triangles you can make by just moving one corner of the starting triangle.

Can you find a general rule for finding the areas of equilateral triangles drawn on an isometric grid?

Are these statements always true, sometimes true or never true?

Do you agree with Badger's statements? Is Badger's reasoning watertight? Why or why not?

In this game, you turn over two cards and try to draw a triangle which has both properties.

Start with a triangle. Can you cut it up to make a rectangle?