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

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

Hence such a triangle cannot exist.