Hi there! Have questions about your homework? At Brainly, there are 60 million students who want to help each other learn. Questions are usually answered in less than 10 minutes. Try it for yourself by posting a question! :D

Hi there! Have questions about your homework? At Brainly, there are 60 million students who want to help each other learn. Questions are usually answered in less than 10 minutes. Try it for yourself by posting a question! :D

The x coordinate of the equilateral triangle will be located exactly in the middle of the other two coordinates (applicable only when one side is along the x axis). Thus, the x coordinate is 1.5. The y coordinate of the triangle will be √3/2 times the length of the side (from the vertices given, i.e. (0,0) and (3,0), the length of one side is 3 units). Thus the y coordinate is √3/2 * 3 = 3√3/2. But the equilateral triangle can have its tip pointed up (like a mountain ^) or its tip pointing down (like a conical well v). So the y coordinate can also be -3√3/2. Thus, the coordinates of the third point are either (1.5 , 3√3/2) or (1.5 , -3√3/2). If you have any doubts, please comment below.