Answer: To find the length of a line segment, you can use the distance formula, which is:
distance = √((x2 - x1)^2 + (y2 - y1)^2)
In this case, x1 and y1 are the coordinates of the endpoint (4, -5), and x2 and y2 are the coordinates of the midpoint (10, 2). Plugging these values into the distance formula gives:
distance = √((10 - 4)^2 + (2 - (-5))^2)
= √(6^2 + 7^2)
= √(36 + 49)
= √85
= 9.219544457292887
So the length of segment FG is approximately 9.22 units.