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Find the incentre of the triangle with vertices `(1, sqrt3), (0, 0)` and `(2, 0)`A. `(1,sqrt(3)//2)`B. `(2//3,1,sqrt(3))`C. `(2//3,sqrt(3)//2)`D. `(1//1,sqrt(3))`

Answer» Correct Answer - D
Let the vertices of the triangle be `A(1,sqrt(3)),(B(0,0) and C(2,0)`. We observe that
`AB=2=BC=AC`
So, the triangle is equilateral. Consequently, its incetnre coincides with the whose coordinates are
`((1+0+2)/(3),(sqrt(3)+0+0)/(3))=(1-(1)/(sqrt(3)))`


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