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

1 Answer
Mar 2, 2018

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

Explanation:

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)# is #< c # #(= 8)#

Hence such a triangle cannot exist.