# A triangle has sides with lengths of 5, 8, and 3. What is the radius of the triangles inscribed circle?

##### 1 Answer

There exists no triangle with the given measurements because the given measurements form a straight line.

If you still want to calculate the are then I have explained below.

If

Where

The area

And the semi perimeter

Here let

Mathematically, since the area comes out to be zero therefore it proves that it is a straight line it is not a triangle, and since there is no triangle so there is no in-circle and thus no in-radius.