Question

A triangle has sides with lengths of 3, 8, and 4. What is the radius of the triangles inscribed circle?

Answer 1

Before we compute for the inscribed circle, we have to know if the triangle exists.

Explanation:

The given is a triangle with sides 3, 8, 4

For any triangle with sides a, b, c, the following conditions should be true

(1) `" "a+b>c`
(2) `" "a+c>b`
(3) `" "b+c>a`

Let `a=3` and `b=8` and `c=4`

We can see that the 2nd condition is False !

God bless....I hope the explanation is useful.