# A triangle has sides with lengths of 1, 4, and 2. What is the radius of the triangles inscribed circle?

With the sides 1, 4,and 2, the triangle does not exist.

#### Explanation:

Let a=1 and b=4 and c=2

For any triangle
$a + b > c \text{ " }$True
$a + c > b \text{ " }$False
$b + c > a \text{ " }$True

The second condition is False. Therefore, the triangle does not exist with the given sides.

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