# Count balls to put in triangle

Given balls of radius $R$ we need to find how many balls can be put into a triangular container with sides $a,b$ and $c$.

Example : Let $R=1$ and $a=3,b=4$ and $c=5$ then answer is $1$, as only one ball can be placed. Now how to solve it for given $R,a,b$ and $c$ ?