Triangles

Can you find out how the 6-triangle shape is transformed in these tessellations? Will the tessellations go on for ever? Why or why not?

What do these two triangles have in common? How are they related?

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

If you know the sizes of the angles marked with coloured dots in this diagram which angles can you find by calculation?

The sides of a triangle are 25, 39 and 40 units of length. Find the diameter of the circumscribed circle.

The graph below is an oblique coordinate system based on 60 degree angles. It was drawn on isometric paper. What kinds of triangles do these points form?

Using different numbers of sticks, how many different triangles are you able to make? Can you make any rules about the numbers of sticks that make the most triangles?

Watch this "Notes on a Triangle" film. Can you recreate parts of the film using cut-out triangles?

Make a flower design using the same shape made out of different sizes of paper.

Can you work out what shape is made by folding in this way? Why not create some patterns using this shape but in different sizes?