A triangle has sides with lengths of 2, 1, and 7. What is the radius of the triangles inscribed circle?

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Answer 1 · 2016-01-28T12:36:58

It is not possible

A triangle with sides 2,1,7 doesn't exist

Using the triangle inequality theorem:Each side of a triangle triangle must be shorter than the sum of the other two sides

$(7 > 2 + 1)$ $(7>2+1)$ Wrong!
$(2 < 1 + 7)$ $(2<1+7)$ Correct!
$(1 < 2 + 7)$ $(1<2+7)$ Correct!