A triangle has sides with lengths of 2, 3, and 8. What is the radius of the triangles inscribed circle?

Question

1886 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-03-02T15:44:46

Such a triangle can’t exist as sum of two sides is less than the third side.

Given :sides of the triangle #a = 2, b = 3, c = 8.

To find the radius of the inscribed circle.

For a triangle to exist, sum of any two sides must be greater than the third side.

But in the given sum,

$a + b (= 2 + 3)$ $a + b (= 2 + 3)$ is $< c$ $< c$ $(= 8)$ $(= 8)$

Hence such a triangle cannot exist.