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If a vertex of a triangle is $(1, 1)$ and the mid points of two sides through this vertex are $(- 1, 2)$ and $(3, 2)$ , then centroid of the triangle is

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(1, 7/3)

1/3, 7/3

-1, 7/3

-1/3, 7/3

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detailed solution

Correct option is A

Let (x1, y1) and (x2, y2) be the other two vertices of the triangle, then x1+12=−1, y1+12=2⇒x1,y1=(−3,3); similarly x2,y2=(5,3)centroid of the triangle is 1−3+53,1+3+33=(1,7/3)

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If a vertex of a triangle is (1,1) and the mid points of two sides through this vertex are (– 1, 2) and (3,2), then centroid of the triangle is

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Ready to Test Your Skills?

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If a vertex of a triangle is $(1, 1)$ and the mid points of two sides through this vertex are $(- 1, 2)$ and $(3, 2)$ , then centroid of the triangle is