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Math Help - Given two vertices of triangle find co-ordinates of third.

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    Exclamation Given two vertices of triangle find co-ordinates of third.

    An equilateral triangle has one vertex at the point (3,4) and another at the point (-2,3). Find the coordinates of the third vertex.
    Last edited by mr fantastic; July 2nd 2010 at 11:54 PM. Reason: Re-titled.
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    Quote Originally Posted by Ilsa View Post
    An equilateral triangle has one vertex at the point (3,4) and another at the point (-2,3). Find the coordinates of the third vertex.
    The triangle will have three points, (3, 4), (-2, 3) and (x, y).

    Since it is an equilateral triangle, all the lengths are equal.

    So use the distance formula to get the distance between (3, 4) and (-2, 3), then use the distance formula to find the other two distances, which will be functions of x and y, and solve them simultaneously.
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