
### Instruction: help me answer this question The base of an equilateral triangle with side 2a lies along the y-axis, such that the mid-point of the base is at the origin. Find the vertices of the triangle., think step by step
### Assistant: We can find the coordinates of the vertices by using the properties of equilateral triangles and applying Pythagoras’ theorem. , The answer is The vertices of the triangle are (0, a), (0, -a), (√3a, 0) or (0, a), (0, -a) and (-√3a, 0).
