SOLUTION: if an equilateraltriangle has 2 coordinates (-2,0),(2,0) find the third vertex?

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?
-------------------------------------------------------------------------
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).
RELATED QUESTIONS
An equilateral triangle has 2 verticles at (0,-1) and (0,5) Find all possibilities for... (answered by stanbon)
which ordered pairs could not be the coordinates of the third vertex? 1. (-4,2) 2.... (answered by stanbon,funmath)
Give the coordinates of the vertex. 7) y = (x - 2)^2 A) ( -2, 0) B) (0, (answered by venugopalramana)
For the parabola 2x^2-4y + 6x + 1 = 0, (a) find the coordinates of the vertex; (b)... (answered by ewatrrr)
Graph the quadratic function {{{f(x)=-7x^2-10x+5}}}. State the ordered pairs representing (answered by solver91311)
Plot the point with coordinates (0,... (answered by tutorcecilia)
Plot the point with coordinates (0,... (answered by rapaljer)
Plot the point with coordinates (0,... (answered by jim_thompson5910)
A parabola y = ax^2 + bx + c has vertex (4, 2). If (2, 0) is on the parabola, then find... (answered by Fombitz)