Answer:
Option (1). 17
Step-by-step explanation:
Length of a segment having coordinates (x₁, y₁) and (x₂, y₂) is given by the formula,
d = [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Coordinates of points A and C are (4, 3) and (19, 11).
To get the length of segment AC we will substitute the coordinates in the formula,
AC = [tex]\sqrt{(19-4)^2+(11-3)^2}[/tex]
= [tex]\sqrt{(15)^2+8^2}[/tex]
= [tex]\sqrt{225+64}[/tex]
= [tex]\sqrt{289}[/tex]
= 17
Therefore, length of segment AC = 17 units.
Option (1) will be the answer.
