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