This problem in geometry has been solved in no less than EIGHT ways
by a pair of students. How would you solve it? How many of their
solutions can you follow? How are they the same or different? Which
do you like best?
Stage: 5 Challenge Level:
Draw a simple diagram which makes it clear that the following
inequality holds for any complex numbers $z$ and $w$ $$|z-w|\geq
Now draw another simple diagram which makes it clear that the
following inequality holds for any real numbers $\alpha>
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.