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Find the incentre of the triangle with v...

Find the incentre of the triangle with vertices `(1, sqrt3), (0, 0)` and `(2, 0)`

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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Knowledge Check

  • The incentre 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)))`

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