# Polycircles

##### Age 14 to 16 Challenge Level:

Try a numerical example, say the 3 points give a triangle of sides
12, 15 and 13. Find the radii of the circles.

Now use the same method if the sides of the triangle are $a$, $b$
and $c$?

Generalise still more: What about 4 circles? 5 circles? $n$
circles?