Answer:
C. 8.54 units
Explanation:
The length of a segment that goes from point (x1, y1) to (x2, y2) can be calculated as
[tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
So, to calculate the length of segment GH, we need to replace (x1, y1) = G(-1, 5) and (x2, y2) = H(2, -3).
[tex]\begin{gathered} \sqrt{(2-(-1))^2+(-3-5)^2} \\ \\ \sqrt{(2+1)^2+(-8)^2} \\ \\ \sqrt{3^2+(-8)^2} \\ \\ \sqrt{9+64} \\ \\ \sqrt{73} \\ \\ 8.54 \end{gathered}[/tex]
Therefore, the length of the segment GH is 8.54 units.
