A triangle has corners at #(2 , 6 )#, #(4 ,8 )#, and #(1 ,5 )#. What is the radius of the triangle's inscribed circle?
1 Answer
Jun 17, 2016
Inradius doesn't exist, as the pts. are col-linear.
Explanation:
Observe that, for all the given pts., the foloowing relation holds :--
ordinate (i.e., y co-ordinate) = abscissa (i.e., x co-ordinate) +4.
This means that they are col-linear pts., all lying on the line
Hence, no triangle can be formed, & as such, inradius can not be found.
Collinearity of the given pts. can also be established as under:-
Let the given pts. be
Then Dist.
Dist.
Dist.
We find that,