# A triangle has sides with lengths of 8, 4, and 3. What is the radius of the triangles inscribed circle?

The triangle does not exist

#### Explanation:

For any plane triangle with sides a, b, c
The following conditions must be satisfied

$a + b > c \text{ }$first condition
$a + c > b \text{ }$second condition
$b + c > a \text{ }$third condition

If we let $a = 8$ and $b = 4$ and $c = 3$

The third condition is FALSE !

Therefore , the triangle does not exist ...

God bless...I hope the explanation is useful.