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)))`

Explanation

To find the incenter of the triangle with vertices \( A(1, \sqrt{3}) \), \( B(0, 0) \), and \( C(2, 0) \), we can follow these steps:

### Step 1: Identify the vertices of the triangle
The vertices of the triangle are:
- \( A(1, \sqrt{3}) \)
- \( B(0, 0) \)
- \( C(2, 0) \)

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