Question 752201: if an equilateraltriangle has 2 coordinates (-2,0),(2,0) find the third vertex?
Found 2 solutions by reviewermath, anamika1310:
Answer by reviewermath(1029)   (Show Source):
You can put this solution on YOUR website! Q: if an equilateral triangle has 2 coordinates (-2,0),(2,0) find the third vertex?
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A: The slope of the line segment joining (-2,0) and the third vertex is tan 60° =  . The equation of the line segment is
 or  .
The slope of the line segment joining (2,0) and the third vertex is tan -60° =  . The equation of the 2nd line segment is
 or  .
To find the third vertex, we get the point of intersection of the two line segments. By using substitution method:
 = 
 = 0
x = 0, substitute in the first equation
 = 
Third Vertex: (0, )
There are two possible answers, by symmetry, the other possible answer is (0,  )
ANSWERS: (0, ) OR (0, )
Answer by anamika1310(3)  (Show Source):
You can put this solution on YOUR website! In an equilateral triangle ,all the three sides are of equal length. So, it should be (-2,0),(2,0),(0,2√3) or (-2,0),(2,0),(0,-2√3).
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