How many triangles can you make on the 3 by 3 pegboard?
Investigate the different shaped bracelets you could make from 18
different spherical beads. How do they compare if you use 24 beads?
Can you make these equilateral triangles fit together to cover the
paper without any gaps between them? Can you tessellate isosceles
Can you see how she worked out the angles in
the triangles? If you have come across circle theorems you may find
these helpful. Remember that the angles in a triangle add up to 180
degrees! You can divide the triangle (or the circle) into pieces
whose angles you know to help you.
If you would like to have a go at this problem
for yourself, you might like to print off these sheets if you're
not using the interactivity:
Sheet of four-peg boards
Sheet of six-peg boards
Sheet of eight-peg boards