A triangle has sides with lengths of 3, 7, and 2. What is the radius of the triangles inscribed circle?

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Answer 1 · 2016-02-06T01:21:08

This is not a triangle.

Use the triangle inequality theorem to see that these side lengths cannot form a valid triangle.

The theorem states that for any triangle with sides #a,b,c#, the following three inequalities hold:

#a+b>c#

#b+c>a#

#c+a>b#

Here, we see that #3+2>7# is untrue, so the sides do not describe a triangle.