Final answer:
To find the coordinates of the midpoint M(2.5, 6), we can use the midpoint formula, which states that the coordinates of the midpoint between two points (x1, y1) and (x2, y2) can be found by taking the average of their x-coordinates and the average of their y-coordinates.
Step-by-step explanation:
To find the coordinates of the midpoint M, we can use the midpoint formula. The formula states that the coordinates of the midpoint between two points (x1, y1) and (x2, y2) can be found by taking the average of their x-coordinates and the average of their y-coordinates. In this case, we have point A with coordinates (x1, y1) and point C with coordinates (x2, y2). So, the x-coordinate of the midpoint M is (x1 + x2)/2 and the y-coordinate is (y1 + y2)/2.
Given that point A has coordinates (0,0) and point C has coordinates (5,12), we can substitute these values into the midpoint formula. The x-coordinate of M is (0 + 5)/2 = 5/2 = 2.5. The y-coordinate of M is (0 + 12)/2 = 12/2 = 6.
Therefore, the coordinates of the midpoint M are (2.5, 6).