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If (-4,3) and (4,3) are two vertices of ...

If (-4,3) and (4,3) are two vertices of an equilateral triangle , then find the coordinates of the third vertex , given that the origin lies in the interior of the triangle.

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Knowledge Check

  • If two vertices of an equilateral triangle are (1,1) and (-1,1) then the third vertex may be

    A
    `(-sqrt3,-sqrt3)`
    B
    `(-sqrt3,sqrt3)`
    C
    `(sqrt3,-sqrt3)`
    D
    `(sqrt3,sqrt3)`

  • If (2,0) and (-2, 0) are the two vertices of an equilateral triangle , then the third vertex can be "_______" .

    A
    (0,0)
    B
    `( 2 , -2)`
    C
    `(0 , 2sqrt3)`
    D
    `(sqrt3 , sqrt3)`

  • Two vertices of an equilateral triangle are origin and (4, 0). What is the area of the triangle ?

    A
    A sq units
    B
    V3 sq units
    C
    `4sqrt(3)` sq units
    D
    2V3 sq units

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    If the coordinates of two vertices of an equilateral triangle are (2,4) and (2,6), then the coordinates of its third vertex are

    If two vertices of an equilateral triangle have rational co-ordintes,then for the third vertex which one is most applicable?

    The co-ordinates of two vertices of an equilateral triangle are (0, 0) and (3, sqrt(3) ) . Find the co-ordinates of the third vertex of the triangle.

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