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The incenter of the triangle with vertices $(1, \sqrt{3})$ , (0, 0), and (2, 0) is

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1,32

23,13

23,32

1,13

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detailed solution

Correct option is D

Here, AB = BC = CA = 2. So, it is an equilateral triangle and the incenter coincides with the centroid. Therefore, the centroid is 0+1+23,0+0+33≡1,13

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The incenter of the triangle with vertices 1,3, (0, 0), and (2, 0) is

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The incenter of the triangle with vertices $(1, \sqrt{3})$ , (0, 0), and (2, 0) is