Question

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

Answer 1

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" " "`True
`a+c>b" " "`False
`b+c>a" " "`True

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

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