What fractions can you find between the square roots of 65 and 67?
Using the interactivity, can you make a regular hexagon from yellow
triangles the same size as a regular hexagon made from green
Tim Rowland introduces irrational numbers
Incidentally, did you notice that the yellow
and purple triangles have the same area ? This doesn't require the
particular case of one triangle being equilateral, any rectangle
split into 4 areas by its diagonals will do.
More obvious now ?
Anyway back to the area of the Square Hole