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.

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- Jul 2nd 2010, 11:44 PMIlsaGiven 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.

- Jul 2nd 2010, 11:50 PMProve It
The triangle will have three points, and .

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

So use the distance formula to get the distance between and , then use the distance formula to find the other two distances, which will be functions of and , and solve them simultaneously.