### Rationals Between

What fractions can you find between the square roots of 56 and 58?

### Equal Equilateral Triangles

Using the interactivity, can you make a regular hexagon from yellow triangles the same size as a regular hexagon made from green triangles ?

### An Introduction to Irrational Numbers

Tim Rowland introduces irrational numbers

# The Square Hole

##### Stage: 4 Challenge Level:

If you take the side length of the equilateral triangle as the unit for length, what would be the size of the hole ?

Alternatively, if the area of the yellow equilateral triangle is taken as the unit for area, what size is the hole then ?