Equilateral Triangle: how to find coordinates of 3rd vertex?

[Guest]

An equilateral triangle has vertices at (4,3) and (9,7) in a coordinate
plane. How to calculate coordinates of the third vertex?

Note : There are two possible 3rd vertex's.

 

[stapel]

How far apart are the two given points?

What do you know (by definition) about the lengths of the three sides of any equilateral triangle?

Eliz.

 

[Guest]

ok

To find the how far apart are the two given points, I must use the distance formula, right? The lengths of an equilateral triangle are the same on all three sides, right?

Interval

 

[tkhunny]

You got it. Now go get it. Let's see what you get.