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Math Help - the vertex of the triangle to be equilateral

  1. #1
    rcs
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    the vertex of the triangle to be equilateral

    A triangle has two vertices at ( -a, 0 ) and (a , 0 ). What must be the third vertex of the triangle to be equilateral?

    Need your help guys.

    Thanks
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    Re: the vertex of the triangle to be equilateral

    Quote Originally Posted by rcs View Post
    A triangle has two vertices at ( -a, 0 ) and (a , 0 ). What must be the third vertex of the triangle to be equilateral?
    The third vertex will be (0,b) where the distance \mathcal{D}[(0.b);(a,0)]=2|a|
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    Re: the vertex of the triangle to be equilateral

    Quote Originally Posted by rcs View Post
    A triangle has two vertices at ( -a, 0 ) and (a , 0 ). What must be the third vertex of the triangle to be equilateral?
    ... note that half an equilateral triangle is a 30-60-90 special right triangle.
    Attached Thumbnails Attached Thumbnails the vertex of the triangle to be equilateral-eqtriangle.png  
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