A floor is covered by a tessellation of equilateral triangles, each having three equal arcs inside it. What proportion of the area of the tessellation is shaded?
Investigate the different ways of cutting a perfectly circular pie into equal pieces using exactly 3 cuts. The cuts have to be along chords of the circle (which might be diameters).
How can you make an angle of 60 degrees by folding a sheet of paper twice?
The green triangle is an isosceles triangle while the blue triangle is an equilateral triangle.
Find $a$ in terms of $b$ and $c$.
What can you say about the triangles if $a = b = c$?