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'Triangle Pin-down' printed from http://nrich.maths.org/
Have you looked at the angles in the triangles drawn? It might help
to draw in some radii and work out angles from the centre.
How will you record the triangles you can make? You might like to
print off these sheets if you're not using the interactivity:
Sheet of
three-peg
boards
Sheet of
four-peg
boards
Sheet of
five-peg
boards
Sheet of
six-peg
boards
Sheet of
seven-peg
boards
Sheet of
eight-peg
boards
Sheet of
nine-peg
boards