To determine the length of the line segment \( \overline{AC} \), we need the coordinates of points A and C. Since I don't have access to the image mentioned, I’ll explain how to calculate the length of a line segment between two points using their coordinates.
If the coordinates of points A and C are given as \( A(x_1, y_1) \) and \( C(x_2, y_2) \), the formula for the distance \( d \) between those two points is:
\[ d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \]
Steps to find the length:
- Identify the coordinates of points A and C.
- Substitute these coordinates into the distance formula.
- Calculate the square of the differences in the x-coordinates and y-coordinates.
- Sum these squares and take the square root to find the distance.
An example:
If the coordinates were \( A(1, 2) \) and \( C(4, 5) \):
-
Calculate the differences: \( x_2 - x_1 = 4 - 1 = 3 \)
\( y_2 - y_1 = 5 - 2 = 3 \) -
Substitute into the formula:
\[ d = \sqrt{3^2 + 3^2} = \sqrt{9 + 9} = \sqrt{18} \approx 4.24 \]
Please provide the coordinates of points A and C so I can give you a specific answer, or use the explained method to compute based on the coordinates from your image.