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

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Answer 1 · 2016-01-19T00:40:59

There is no such triangle since #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#, #b# and #c# then all of the following hold:

#a+b > c#

#b+c > a#

#c+a > b#