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the incentre of the triangle formed by (1,2) (3,4) (2,3) is
a)0 b)√2 c)1/√2 d)none
please explain
Hi Halak,
The incentre will be a co-ordinate. None of the option is in the co-ordinate format.
If it is inradus "r" that you are looking for,
Then r = area/semi-perimeter
Find a,b,c from distance formula. Then find area by Herons formula.
And s = (a+b+c)/2
And hence find the inradius.
You have a = 2root(2), b = root(2), and c = root(2).
Oh !!!, please note, the given points cannot represent a triangle, as they are collinear and lie on the same straight line.
So inradius = 0.
Hope this helps.
Best Regards,
Ashwin (IIT Madras).
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