A triangle has sides with lengths of 3, 9, and 4. What is the radius of the triangles inscribed circle?

Question

2467 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-01-19T00:40:59

There is no such triangle since $3 + 4 < 9$ $3+4 < 9$

The sum of the lengths of any two sides of a triangle must be greater than the length of the remaining side.

That is, if the sides of a triangle are $a$ $a$ , $b$ $b$ and $c$ $c$ then all of the following hold:

$a + b > c$ $a+b > c$

$b + c > a$ $b+c > a$

$c + a > b$ $c+a > b$