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?

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) (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)
RELATED QUESTIONS
If two vertices of an equilateral triangle are (0,0) and (0,4), find the third vertex.... (answered by math_tutor2020,ikleyn)

An equilateral triangle is one in which all three sides are of equal length. If two... (answered by mananth)

Two vertices of an equilateral triangle are (10,-4) and (0,6). Find the third... (answered by Alan3354)

if two vertices of an equilateral triangle are (-4,3) and(0,0), find the third vertex. (answered by Edwin McCravy)

if two vertices of an equilateral triangle are (-4,-3) and(4,1), find the remaining... (answered by math_helper)

Two vertices of an equilateral triangle are (10,-4)and (0,6) the third vertex can be (answered by Edwin McCravy)

Two vertices of an equilateral triangle are (3,4)and (-2,3) the third vertex can... (answered by Alan3354,Edwin McCravy)

Two vertices of an equilateral triangle are (3,4)and (-2,3) the third vertex can... (answered by KMST)

If the vertices of an equilateral triangle are (0,4), (0,0), and (2square root3, 2), how... (answered by richard1234,ewatrrr)