An equilateral triangle is one in which all three sides are of equal length. If two vertices of an equilateral triangle are (0, 4) and (0, 0), find the third vertex. How many of these triangles are possible?

Let me see if I understand this question.

1. Plot the given points.

2. The distance from (0, 0) to (0, 4) is 4 units.

3. To find the third vertex of the form (x, y), I must use the distance formula for points.

4. The second question tells me that there are more than one such triangles.

5. The distance from vertex 1 to vertex 2 to vertex 3 is the same.

Is any of this correct?