If a vertex of a triangle is $(1, 1)$ , and the middle points of two sides passing through it are $- 2, 3)$ and $(5, 2),$ then find the centroid and the incenter of the triangle.

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If a vertex of a triangle is

(1, 1)

, and the middle points of two sides passing through it are

- 2, 3)

and

(5, 2),

then find the centroid and the incenter of the triangle.

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Question Text

If a vertex of a triangle is

(1, 1)

, and the middle points of two sides passing through it are

- 2, 3)

and

(5, 2),

then find the centroid and the incenter of the triangle.

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