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If a vertex of a triangle is (1,1) , and...

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.

Answer

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If a vertex of a triangle be (1,1) and the middle points of the sides through it be (-2,3) and (5,2), find the other vertices.

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Knowledge Check

  • If a vertex of a triangle be (1,1) and the middle points of the two sides through it be (-2,3) and (5,2) then the centroid of the triangle is

    A
    `(5/3,3)`
    B
    `(5/3,-3)`
    C
    `(-5/3,3)`
    D
    `(-5/3,-3)`
  • If a vertex of a triangle is (1, 1) and the mid-points of two sides through the vertex are (-1, 2) and (3, 2), then the centroid of the triangle is

    A
    `(1, 7/3)`
    B
    `(1/3, 7/3)`
    C
    `(- 1/3, 7/3)`
    D
    `(-1, 7/3)`
  • If the middle points of the sides of a triangle be (- 2, 3), (4, - 3) and (4, 5), then the centroid of the triangle is:

    A
    (5/3, 2)
    B
    (5/6, 1)
    C
    (2, 5/3)
    D
    (1, 5/6)
  • Similar Questions

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    21.If a vertex of a triangle is (1,1) and the midpoints of two sides of the triangle through this vertex are (-1,2) and (3,2), then the centroid of the triangle is

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

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

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

    If the middle points of the sides of a triangle are (-2,3),(4,-3), and (4,5), then find the centroid of the triangle.