Q : 2 The base of an equilateral triangle with side lies along the -axis such that the mid-point of the base is at the origin. Find vertices of the triangle.
it is given that it is an equilateral triangle and length of all sides is 2a
The base of the triangle lies on y-axis such origin is the midpoint
Coordinates of point A and B are respectively
Apply Pythagoras theorem in triangle AOC
Therefore, coordinates of vertices of the triangle are