A triangle has corners at #(9 , 2 )#, #(4 ,7 )#, and #(5 ,6 )#. What is the radius of the triangle's inscribed circle?

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Answer 1 · 2017-04-07T03:10:34

The three points lie on a single straight line, so they are collinear and do not form a triangle.

Given #A(4,7), B(5,6) and C(9,2)#,

#m_(AB)=(6-7)/(5-4)=-1#

#m_(BC)=(2-6)/(9-5)=-1#

As the two segments #AB# and #BC# have a same gradient of #-1# and a common point #B#, the three points #A,B and C# are collinear.