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If the vertices of a triangle have integ...

If the vertices of a triangle have integral coordionates, then the triangle the triangle cannot be equilateral.

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If the vertices of a triangle have rational coordinates,then prove that the triangle cannot be equilateral.

If the vertices of a triangle have integral coordinates, prove that the trinagle cannot be equilateral.

Knowledge Check

  • If the vertices of a triangle have integral coordinates, then the triangle is

    A
    equilateral
    B
    never equilateral
    C
    always isosceles
    D
    None of these
  • If each of the vertices of a triangle has integral coordinates, then the triangles may be

    A
    right angled
    B
    equilateral
    C
    isosceles
    D
    scalene
  • If two vertices of an equilaterla triangle have integral coordinates, then the third vetex will have

    A
    integral coodinates which are rtional
    B
    coordinates which are rational
    C
    at least one coordinate irrational
    D
    coordinates which are irrational
  • Similar Questions

    Explore conceptually related problems

    If all the vertices of a triangle have integral coordinates,then the triangle may be (a) right- angle(b) equilateral (c) isosceles(d) none of these

    If the vertices of a triangle having integral coordinates.Prove that triangle can't be equileteral.

    If the co- ordinates of all vertices of a triangle are integers , then this triangle cannot be -

    A right triangle cannot have an obtuse angle.

    If the coordinates of vertices of a triangle is always rational then the triangle cannot be