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The incentre of the triangle with vertices (1,√3 ), (0, 0) and (2, 0) is : (A) (1,√3/2) (B) (2/3,1/√3) (C) (2/3,√3/2) (D) (1,1/√3)

 The incentre of the triangle with vertices (1,√3 ), (0, 0) and (2, 0) is :
(A) (1,√3/2)                              (B) (2/3,1/√3)
(C) (2/3,√3/2)                           (D) (1,1/√3)

Grade:12

2 Answers

Ramesh V
70 Points
14 years ago

since the given triangle is equilateral ,

its incentre is same as centroid

I(x,y) = (1+0+2 / 3 , 1.732 + 0 +0 /3)

         = ( 1 , 1/31/2)

option D

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regards

Ramesh

Ashwin Sheoran
44 Points
5 years ago
We know that the given triangle is equilateral triangle therefore its incenter and its centroid should be the same the applying the formula of the centroid we get that the coordinates of the incenter are (1,1/3^(1÷2))

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