# A triangle has sides with lengths of 1, 6, and 2. What is the radius of the triangles inscribed circle?

Jan 17, 2016

There is no such triangle since $1 + 2 < 6$

#### Explanation:

If a triangle has sides $a$, $b$ and $c$ then all of the following hold:

$a + b < c$

$b + c < a$

$c + a < b$