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

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) (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, ) is units above the x-axis and lies on the positive y-axis.

Similarly,
.
Therefore the triangle is equilateral.
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SOLUTION: a) Show that the triangle with vertices D(-1,0), E(1,0) and F(0,&#8730;3) is equilateral. b) List the coordinates of the vertices of another equilateral triangle

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