SOLUTION: An equilateral triangle has sides of equal length. Determine whether the triangle with vertices (-1, -1), (2, 3), (-4, 3) is equilateral.

Algebra ->  Pythagorean-theorem -> SOLUTION: An equilateral triangle has sides of equal length. Determine whether the triangle with vertices (-1, -1), (2, 3), (-4, 3) is equilateral.      Log On


   

Question 258803: An equilateral triangle has sides of equal length. Determine whether the triangle with vertices (-1, -1), (2, 3), (-4, 3) is equilateral.
Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
(-1, -1), (2, 3), (-4, 3)
find distances between
(-1, -1), (2, 3)=distance 5
(-1-3)^2+ (-1-2)^2=c^2
4^2+3^2=16+9=25
sqrt(25)=5
(2, 3), (-4, 3)=distance 6
(-4-2)^2+(3-3)^2=36
sqrt(36)=6
(-1, -1), (-4, 3)=distance =5
(-1-(-4 ))^2+(-1-3)^2
3^2+4^2=25
sqrt(25)=5
If any are not the same it is not equilateral
sides 5 and 6
NOT equilateral