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.
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, 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.