SOLUTION: If two vertices of an equilateral triangle are (0, 4) and (0, 0), Find the third vertex. How many of these triangles are possible?

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Question 898444: If two vertices of an equilateral triangle are (0, 4) and (0, 0), Find the third vertex. How many of these triangles are possible?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!

There are two possible triangles.

Since the angle at the vertex is 60 degrees, the angle that the line from (0,0) to the new vertex makes is 30 degrees.
The length is 4 units.
(x,y)=(0,0) + (4*cos(30),4*sin(30))
(x,y)=(3.46,2)
The mirror across the y-axis (for -30 degrees) is:
(x,y)=(-3.46,2)