SOLUTION: a) Show that the triangle with vertices D(-1,0), E(1,0) and F(0,√3) is equilateral. b) List the coordinates of the vertices of another equilateral triangle

Algebra ->  Triangles -> SOLUTION: a) Show that the triangle with vertices D(-1,0), E(1,0) and F(0,√3) is equilateral. b) List the coordinates of the vertices of another equilateral triangle      Log On


   



Question 1022366: a) Show that the triangle with vertices D(-1,0), E(1,0) and F(0,√3) is equilateral.
b) List the coordinates of the vertices of another equilateral triangle

Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
The base of the triangle which is the segment DE clearly has length 2.
The point (0, sqrt%283%29) is sqrt%283%29 units above the x-axis and lies on the positive y-axis.

Similarly,
.
Therefore the triangle is equilateral.