Cut four triangles from a square as shown in the picture. How many
different shapes can you make by fitting the four triangles back
Use the interactivity to find all the different right-angled
triangles you can make by just moving one corner of the starting
Can you make the most extraordinary, the most amazing, the most
unusual patterns/designs from these triangles which are made in a
Can you help the children find the two triangles which have the
lengths of two sides numerically equal to their areas?
What is the total area of the four outside triangles which are
outlined in red in this arrangement of squares inside each other?
How would you move the bands on the pegboard to alter these shapes?