Question

Show that the points (0,3)(0,1)and(2,3) are the vertices of an equilateral triangle 0th

Answer 1

Since 90 degree has a slope of 1 and all the angles of an equilateral triangle are equal to 60 degree,
Using Section formula,
Find the slope between AB,BC and CA.
If the slope of all the three points is equal to 2/3, then they are the vertices of an equilateral triangle.