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The incenter of the triangle with vertic...

The incenter of the triangle with vertices `(1,sqrt(3)),(0,0),` and `(2,0)` is (a)`(1,(sqrt(3))/2)` (b) `(2/3,1/(sqrt(3)))` (c)`(2/3,(sqrt(3))/2)` (d) `(1,1/(sqrt(3)))`

Text Solution

Verified by Experts

Here `AB=BC=CA=2`
So, it is an equilateral triangle and the incentre coincides with centroid.
Therefore, centroid
`((0+1+2)/(3),(0+0+sqrt3)/(3))-=(1,(1)/sqrt3)`
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