Show that for any triangle it is always possible to construct 3
touching circles with centres at the vertices. Is it possible to
construct touching circles centred at the vertices of any polygon?
Stage: 4 Challenge Level:
Move the ends of the lines at points B and D around the
circle and find the relationship between the length of the
line segments PA, PB, PC, and PD. The length of each of the
line segments is recorded next to the diagram.
The NRICH Project aims to enrich the mathematical experiences of all learners. To support this aim, members of the
NRICH team work in a wide range of capacities, including providing professional development for teachers wishing to
embed rich mathematical tasks into everyday classroom practice. More information on many of our other activities
can be found here.